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Group Question
Answer the following question based on the information given below.
Ten dancers A to J go to a dance competition. The following information is known about the competition and the group.
a. There will be 3 performances namely Kathak, Bharatnatyam and Folk.
b. Folk dance will involve at least 3 people and at most 5 people.
c. No dancer can perform more than once and every member is a part of exactly one of the group.
d. Only A, C, E and F know Kathak.
e. Only B, E, G and H know Bharatnatyam.
f. All but A and B know Folk dance.
g. C and D cannot dance together.
h. F and I have to dance together.
b. Folk dance will involve at least 3 people and at most 5 people.
c. No dancer can perform more than once and every member is a part of exactly one of the group.
d. Only A, C, E and F know Kathak.
e. Only B, E, G and H know Bharatnatyam.
f. All but A and B know Folk dance.
g. C and D cannot dance together.
h. F and I have to dance together.
Q. In how many ways can Folk dance be performed?
Correct answer is '4'. Can you explain this answer?
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Group QuestionAnswer the following question based on the information g...
A has to be in the group of Kathak and B has to be in the group of Bharatnatyam.
I do not know Kathak and Bharatnatyam. So, I has to be in the group of Folk dance. So, F and I perform Folk dance.
From (d) and (g), C performs Kathak and D is in Folk dance. Also, J can only be in Folk dance.
Kathak: A and C
Bharatnatyam: B
Folk: FIJD
Thus, Folk dance group can have at most one member.
So, the remaining dancers are E, G and H.
If E is in Kathak group, G and H can be in any of the remaining two groups in three ways.
If E is in Bharatnatyam group, G and H can be in Bharatnatyam or Folk group in three ways.
If E is Folk dance group, G and H has to be in Bharatnatyam.
Thus, Folk dance can be performed in four ways, viz FIDJ, FIJDH, FIJDG and FIJDE.
Answer: 4
I do not know Kathak and Bharatnatyam. So, I has to be in the group of Folk dance. So, F and I perform Folk dance.
From (d) and (g), C performs Kathak and D is in Folk dance. Also, J can only be in Folk dance.
Kathak: A and C
Bharatnatyam: B
Folk: FIJD
Thus, Folk dance group can have at most one member.
So, the remaining dancers are E, G and H.
If E is in Kathak group, G and H can be in any of the remaining two groups in three ways.
If E is in Bharatnatyam group, G and H can be in Bharatnatyam or Folk group in three ways.
If E is Folk dance group, G and H has to be in Bharatnatyam.
Thus, Folk dance can be performed in four ways, viz FIDJ, FIJDH, FIJDG and FIJDE.
Answer: 4
Most Upvoted Answer
Group QuestionAnswer the following question based on the information g...
Given Information:
- There are 10 dancers A to J.
- There will be 3 performances: Kathak, Bharatnatyam, and Folk.
- Folk dance will involve at least 3 people and at most 5 people.
- No dancer can perform more than once and every member is a part of exactly one group.
- Only A, C, E, and F know Kathak.
- Only B, E, G, and H know Bharatnatyam.
- All but A and B know Folk dance.
- C and D cannot dance together.
- F and I have to dance together.
Solution:
To determine the number of ways the Folk dance can be performed, we need to consider the given information and apply the principles of counting.
Step 1: Identify the dancers for Folk dance
- All dancers except A and B know Folk dance.
- Since there are 10 dancers in total, there are 8 dancers available for the Folk dance.
Step 2: Determine the number of dancers for the Folk dance
- The Folk dance can involve at least 3 people and at most 5 people.
- We need to consider the different combinations of dancers for the Folk dance within this range.
Case 1: Folk dance with 3 dancers
- Selecting 3 dancers out of 8 can be done in C(8, 3) ways = 8!/(3! * (8-3)!) = (8 * 7 * 6)/(3 * 2 * 1) = 56 ways.
Case 2: Folk dance with 4 dancers
- Selecting 4 dancers out of 8 can be done in C(8, 4) ways = 8!/(4! * (8-4)!) = (8 * 7 * 6 * 5)/(4 * 3 * 2 * 1) = 70 ways.
Case 3: Folk dance with 5 dancers
- Selecting 5 dancers out of 8 can be done in C(8, 5) ways = 8!/(5! * (8-5)!) = (8 * 7 * 6 * 5 * 4)/(5 * 4 * 3 * 2 * 1) = 56 ways.
Step 3: Determine the total number of ways
- To find the total number of ways, we need to sum up the number of ways from each case.
- Total number of ways = 56 + 70 + 56 = 182 ways.
However, we need to consider the given constraints:
- C and D cannot dance together, which means they cannot be part of the same Folk dance group.
- F and I have to dance together, which means they must be part of the same Folk dance group.
Step 4: Apply the constraints
- Since C and D cannot dance together, we need to subtract the cases where they are together.
- C and D can be selected together in C(2, 2) = 1 way.
- Subtracting this case from the total number of ways, we have 182 - 1 = 181 ways.
- Since F and I must dance together,
- There are 10 dancers A to J.
- There will be 3 performances: Kathak, Bharatnatyam, and Folk.
- Folk dance will involve at least 3 people and at most 5 people.
- No dancer can perform more than once and every member is a part of exactly one group.
- Only A, C, E, and F know Kathak.
- Only B, E, G, and H know Bharatnatyam.
- All but A and B know Folk dance.
- C and D cannot dance together.
- F and I have to dance together.
Solution:
To determine the number of ways the Folk dance can be performed, we need to consider the given information and apply the principles of counting.
Step 1: Identify the dancers for Folk dance
- All dancers except A and B know Folk dance.
- Since there are 10 dancers in total, there are 8 dancers available for the Folk dance.
Step 2: Determine the number of dancers for the Folk dance
- The Folk dance can involve at least 3 people and at most 5 people.
- We need to consider the different combinations of dancers for the Folk dance within this range.
Case 1: Folk dance with 3 dancers
- Selecting 3 dancers out of 8 can be done in C(8, 3) ways = 8!/(3! * (8-3)!) = (8 * 7 * 6)/(3 * 2 * 1) = 56 ways.
Case 2: Folk dance with 4 dancers
- Selecting 4 dancers out of 8 can be done in C(8, 4) ways = 8!/(4! * (8-4)!) = (8 * 7 * 6 * 5)/(4 * 3 * 2 * 1) = 70 ways.
Case 3: Folk dance with 5 dancers
- Selecting 5 dancers out of 8 can be done in C(8, 5) ways = 8!/(5! * (8-5)!) = (8 * 7 * 6 * 5 * 4)/(5 * 4 * 3 * 2 * 1) = 56 ways.
Step 3: Determine the total number of ways
- To find the total number of ways, we need to sum up the number of ways from each case.
- Total number of ways = 56 + 70 + 56 = 182 ways.
However, we need to consider the given constraints:
- C and D cannot dance together, which means they cannot be part of the same Folk dance group.
- F and I have to dance together, which means they must be part of the same Folk dance group.
Step 4: Apply the constraints
- Since C and D cannot dance together, we need to subtract the cases where they are together.
- C and D can be selected together in C(2, 2) = 1 way.
- Subtracting this case from the total number of ways, we have 182 - 1 = 181 ways.
- Since F and I must dance together,
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Group QuestionAnswer the following question based on the information given below.Ten dancers A to J go to a dance competition. The following information is known about the competition and the group.a. There will be 3 performances namely Kathak, Bharatnatyam and Folk.b. Folk dance will involve at least 3 people and at most 5 people.c. No dancer can perform more than once and every member is a part of exactly one of the group.d. Only A, C, E and F know Kathak.e. Only B, E, G and H know Bharatnatyam.f. All but A and B know Folk dance.g. C and D cannot dance together.h. F and I have to dance together.Q. In how many ways can Folk dance be performed?Correct answer is '4'. Can you explain this answer?
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Group QuestionAnswer the following question based on the information given below.Ten dancers A to J go to a dance competition. The following information is known about the competition and the group.a. There will be 3 performances namely Kathak, Bharatnatyam and Folk.b. Folk dance will involve at least 3 people and at most 5 people.c. No dancer can perform more than once and every member is a part of exactly one of the group.d. Only A, C, E and F know Kathak.e. Only B, E, G and H know Bharatnatyam.f. All but A and B know Folk dance.g. C and D cannot dance together.h. F and I have to dance together.Q. In how many ways can Folk dance be performed?Correct answer is '4'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Group QuestionAnswer the following question based on the information given below.Ten dancers A to J go to a dance competition. The following information is known about the competition and the group.a. There will be 3 performances namely Kathak, Bharatnatyam and Folk.b. Folk dance will involve at least 3 people and at most 5 people.c. No dancer can perform more than once and every member is a part of exactly one of the group.d. Only A, C, E and F know Kathak.e. Only B, E, G and H know Bharatnatyam.f. All but A and B know Folk dance.g. C and D cannot dance together.h. F and I have to dance together.Q. In how many ways can Folk dance be performed?Correct answer is '4'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Group QuestionAnswer the following question based on the information given below.Ten dancers A to J go to a dance competition. The following information is known about the competition and the group.a. There will be 3 performances namely Kathak, Bharatnatyam and Folk.b. Folk dance will involve at least 3 people and at most 5 people.c. No dancer can perform more than once and every member is a part of exactly one of the group.d. Only A, C, E and F know Kathak.e. Only B, E, G and H know Bharatnatyam.f. All but A and B know Folk dance.g. C and D cannot dance together.h. F and I have to dance together.Q. In how many ways can Folk dance be performed?Correct answer is '4'. Can you explain this answer?.
Group QuestionAnswer the following question based on the information given below.Ten dancers A to J go to a dance competition. The following information is known about the competition and the group.a. There will be 3 performances namely Kathak, Bharatnatyam and Folk.b. Folk dance will involve at least 3 people and at most 5 people.c. No dancer can perform more than once and every member is a part of exactly one of the group.d. Only A, C, E and F know Kathak.e. Only B, E, G and H know Bharatnatyam.f. All but A and B know Folk dance.g. C and D cannot dance together.h. F and I have to dance together.Q. In how many ways can Folk dance be performed?Correct answer is '4'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Group QuestionAnswer the following question based on the information given below.Ten dancers A to J go to a dance competition. The following information is known about the competition and the group.a. There will be 3 performances namely Kathak, Bharatnatyam and Folk.b. Folk dance will involve at least 3 people and at most 5 people.c. No dancer can perform more than once and every member is a part of exactly one of the group.d. Only A, C, E and F know Kathak.e. Only B, E, G and H know Bharatnatyam.f. All but A and B know Folk dance.g. C and D cannot dance together.h. F and I have to dance together.Q. In how many ways can Folk dance be performed?Correct answer is '4'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Group QuestionAnswer the following question based on the information given below.Ten dancers A to J go to a dance competition. The following information is known about the competition and the group.a. There will be 3 performances namely Kathak, Bharatnatyam and Folk.b. Folk dance will involve at least 3 people and at most 5 people.c. No dancer can perform more than once and every member is a part of exactly one of the group.d. Only A, C, E and F know Kathak.e. Only B, E, G and H know Bharatnatyam.f. All but A and B know Folk dance.g. C and D cannot dance together.h. F and I have to dance together.Q. In how many ways can Folk dance be performed?Correct answer is '4'. Can you explain this answer?.
Solutions for Group QuestionAnswer the following question based on the information given below.Ten dancers A to J go to a dance competition. The following information is known about the competition and the group.a. There will be 3 performances namely Kathak, Bharatnatyam and Folk.b. Folk dance will involve at least 3 people and at most 5 people.c. No dancer can perform more than once and every member is a part of exactly one of the group.d. Only A, C, E and F know Kathak.e. Only B, E, G and H know Bharatnatyam.f. All but A and B know Folk dance.g. C and D cannot dance together.h. F and I have to dance together.Q. In how many ways can Folk dance be performed?Correct answer is '4'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of Group QuestionAnswer the following question based on the information given below.Ten dancers A to J go to a dance competition. The following information is known about the competition and the group.a. There will be 3 performances namely Kathak, Bharatnatyam and Folk.b. Folk dance will involve at least 3 people and at most 5 people.c. No dancer can perform more than once and every member is a part of exactly one of the group.d. Only A, C, E and F know Kathak.e. Only B, E, G and H know Bharatnatyam.f. All but A and B know Folk dance.g. C and D cannot dance together.h. F and I have to dance together.Q. In how many ways can Folk dance be performed?Correct answer is '4'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Group QuestionAnswer the following question based on the information given below.Ten dancers A to J go to a dance competition. The following information is known about the competition and the group.a. There will be 3 performances namely Kathak, Bharatnatyam and Folk.b. Folk dance will involve at least 3 people and at most 5 people.c. No dancer can perform more than once and every member is a part of exactly one of the group.d. Only A, C, E and F know Kathak.e. Only B, E, G and H know Bharatnatyam.f. All but A and B know Folk dance.g. C and D cannot dance together.h. F and I have to dance together.Q. In how many ways can Folk dance be performed?Correct answer is '4'. Can you explain this answer?, a detailed solution for Group QuestionAnswer the following question based on the information given below.Ten dancers A to J go to a dance competition. The following information is known about the competition and the group.a. There will be 3 performances namely Kathak, Bharatnatyam and Folk.b. Folk dance will involve at least 3 people and at most 5 people.c. No dancer can perform more than once and every member is a part of exactly one of the group.d. Only A, C, E and F know Kathak.e. Only B, E, G and H know Bharatnatyam.f. All but A and B know Folk dance.g. C and D cannot dance together.h. F and I have to dance together.Q. In how many ways can Folk dance be performed?Correct answer is '4'. Can you explain this answer? has been provided alongside types of Group QuestionAnswer the following question based on the information given below.Ten dancers A to J go to a dance competition. The following information is known about the competition and the group.a. There will be 3 performances namely Kathak, Bharatnatyam and Folk.b. Folk dance will involve at least 3 people and at most 5 people.c. No dancer can perform more than once and every member is a part of exactly one of the group.d. Only A, C, E and F know Kathak.e. Only B, E, G and H know Bharatnatyam.f. All but A and B know Folk dance.g. C and D cannot dance together.h. F and I have to dance together.Q. In how many ways can Folk dance be performed?Correct answer is '4'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Group QuestionAnswer the following question based on the information given below.Ten dancers A to J go to a dance competition. The following information is known about the competition and the group.a. There will be 3 performances namely Kathak, Bharatnatyam and Folk.b. Folk dance will involve at least 3 people and at most 5 people.c. No dancer can perform more than once and every member is a part of exactly one of the group.d. Only A, C, E and F know Kathak.e. Only B, E, G and H know Bharatnatyam.f. All but A and B know Folk dance.g. C and D cannot dance together.h. F and I have to dance together.Q. In how many ways can Folk dance be performed?Correct answer is '4'. Can you explain this answer? tests, examples and also practice CAT tests.
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