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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. If E, F and I are among the people performing folk dance, in how many ways can the dance performances be given?
Correct answer is '1'. Can you explain this answer?
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Verified Answer
Ten dancers A to J go to a dance competition. The following informatio...
Refer to the solution given in the first question of the set.
If E is with FIJD, then, A and C perform Kathak and B, G and H perform Bharatnatyam.
Answer: 1
If E is with FIJD, then, A and C perform Kathak and B, G and H perform Bharatnatyam.
Answer: 1
Most Upvoted Answer
Ten dancers A to J go to a dance competition. The following informatio...
Solution:
Given information:
- 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 of the 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.
To find: The number of ways the dance performances can be given if E, F, and I are among the people performing folk dance.
Solution:
- Since E, F, and I are performing Folk dance, the number of people in the group will be between 3 and 5. Let's consider the following cases:
Case 1: There are 3 people in the Folk dance group
- Since E, F, and I are performing Folk dance, the third person in the group can be any of the remaining dancers (A, C, D, G, or H).
- However, C and D cannot dance together, so the third person can be any of the remaining dancers except C and D.
- Therefore, the number of ways to form a group of 3 for Folk dance is 3 (the number of choices for the third person).
Case 2: There are 4 people in the Folk dance group
- Since E, F, and I are performing Folk dance, the fourth person in the group can be any of the remaining dancers (A, C, D, G, or H).
- However, C and D cannot dance together, so the fourth person can be any of the remaining dancers except C and D.
- Therefore, the number of ways to form a group of 4 for Folk dance is 3 (the number of choices for the fourth person).
Case 3: There are 5 people in the Folk dance group
- Since E, F, and I are performing Folk dance, the other two people in the group can be any two of the remaining dancers (A, C, D, G, or H).
- However, C and D cannot dance together, so the other two people can be any two of the remaining dancers except C and D.
- Therefore, the number of ways to form a group of 5 for Folk dance is 4 (the number of choices for the other two people).
- To find the number of ways the dance performances can be given, we need to multiply the number of ways for each performance. Since there are 3 performances and only 1 way to form the Folk dance group, the answer is 1.
Therefore, the number of ways the dance performances can be given if E, F, and I are among the people performing Folk dance is 1.
Given information:
- 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 of the 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.
To find: The number of ways the dance performances can be given if E, F, and I are among the people performing folk dance.
Solution:
- Since E, F, and I are performing Folk dance, the number of people in the group will be between 3 and 5. Let's consider the following cases:
Case 1: There are 3 people in the Folk dance group
- Since E, F, and I are performing Folk dance, the third person in the group can be any of the remaining dancers (A, C, D, G, or H).
- However, C and D cannot dance together, so the third person can be any of the remaining dancers except C and D.
- Therefore, the number of ways to form a group of 3 for Folk dance is 3 (the number of choices for the third person).
Case 2: There are 4 people in the Folk dance group
- Since E, F, and I are performing Folk dance, the fourth person in the group can be any of the remaining dancers (A, C, D, G, or H).
- However, C and D cannot dance together, so the fourth person can be any of the remaining dancers except C and D.
- Therefore, the number of ways to form a group of 4 for Folk dance is 3 (the number of choices for the fourth person).
Case 3: There are 5 people in the Folk dance group
- Since E, F, and I are performing Folk dance, the other two people in the group can be any two of the remaining dancers (A, C, D, G, or H).
- However, C and D cannot dance together, so the other two people can be any two of the remaining dancers except C and D.
- Therefore, the number of ways to form a group of 5 for Folk dance is 4 (the number of choices for the other two people).
- To find the number of ways the dance performances can be given, we need to multiply the number of ways for each performance. Since there are 3 performances and only 1 way to form the Folk dance group, the answer is 1.
Therefore, the number of ways the dance performances can be given if E, F, and I are among the people performing Folk dance is 1.
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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. If E, F and I are among the people performing folk dance, in how many ways can the dance performances be given?Correct answer is '1'. Can you explain this answer?
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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. If E, F and I are among the people performing folk dance, in how many ways can the dance performances be given?Correct answer is '1'. 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 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. If E, F and I are among the people performing folk dance, in how many ways can the dance performances be given?Correct answer is '1'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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. If E, F and I are among the people performing folk dance, in how many ways can the dance performances be given?Correct answer is '1'. Can you explain this answer?.
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. If E, F and I are among the people performing folk dance, in how many ways can the dance performances be given?Correct answer is '1'. 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 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. If E, F and I are among the people performing folk dance, in how many ways can the dance performances be given?Correct answer is '1'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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. If E, F and I are among the people performing folk dance, in how many ways can the dance performances be given?Correct answer is '1'. Can you explain this answer?.
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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. If E, F and I are among the people performing folk dance, in how many ways can the dance performances be given?Correct answer is '1'. Can you explain this answer?, a detailed solution for 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. If E, F and I are among the people performing folk dance, in how many ways can the dance performances be given?Correct answer is '1'. Can you explain this answer? has been provided alongside types of 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. If E, F and I are among the people performing folk dance, in how many ways can the dance performances be given?Correct answer is '1'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 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. If E, F and I are among the people performing folk dance, in how many ways can the dance performances be given?Correct answer is '1'. Can you explain this answer? tests, examples and also practice CAT tests.
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