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. F is injured and E has to perform Kathak. In how many ways can a team perform folk dance now?Correct answer is '3'. 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. F is injured and E has to perform Kathak. In how many ways can a team perform folk dance now?

Correct answer is '3'. Can you explain this answer?

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Ten dancers A to J go to a dance competition. The following informatio...

If F is injured, F and I cannot be in Folk dance.
Kathak: A and C Bharatnatyam: B Folk: J and D Now from E, G and H, at least one should be in Folk.
So, Folk dance combinations are: JDH, JDG and JDHG
Answer: 3

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Ten dancers A to J go to a dance competition. The following informatio...

Given Information:
- 10 dancers A to J
- 3 performances: Kathak, Bharatnatyam, and Folk
- Folk dance involves 3 to 5 people
- Each dancer performs only once
- Each dancer is part of exactly one group
- A, C, E, and F know Kathak
- B, E, G, and H know Bharatnatyam
- All except A and B know Folk dance
- C and D cannot dance together
- F and I have to dance together

Given Constraints:
- F is injured and E has to perform Kathak

Objective:
Find the number of ways a team can perform Folk dance.

Solution:

To find the number of ways a team can perform Folk dance, we need to consider the given constraints and find the possible combinations.

Step 1: Determine the dancers who can perform Folk dance
- All except A and B know Folk dance
- F is injured and E has to perform Kathak
- Since F is injured, we cannot include F in the Folk dance performance
- Since E has to perform Kathak, we cannot include E in the Folk dance performance
- Therefore, the dancers who can perform Folk dance are C, D, G, H, I, J

Step 2: Determine the number of dancers required for the Folk dance performance
- Folk dance involves 3 to 5 people
- Since the minimum number of dancers required is 3, we can select any 3 dancers from the pool of dancers who can perform Folk dance (C, D, G, H, I, J)
- The possible combinations of 3 dancers are:
- C, D, G
- C, D, H
- C, D, I
- C, D, J
- C, G, H
- C, G, I
- C, G, J
- C, H, I
- C, H, J
- C, I, J
- D, G, H
- D, G, I
- D, G, J
- D, H, I
- D, H, J
- D, I, J
- G, H, I
- G, H, J
- G, I, J
- H, I, J
- Therefore, there are 20 possible combinations of 3 dancers for the Folk dance performance.

Step 3: Determine the number of ways to assign the remaining dancers to Kathak and Bharatnatyam performances
- A, C, E, and F know Kathak
- B, E, G, and H know Bharatnatyam
- Since E has to perform Kathak, we cannot assign E to Bharatnatyam
- Therefore, the possible combinations for Kathak and Bharatnatyam are:
- Kathak: A, C, F
- Bharatnatyam: B, G, H
- Kathak: A, C, F
- Bharatnatyam: B, G, H
- Kathak: A, C, F

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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. F is injured and E has to perform Kathak. In how many ways can a team perform folk dance now?Correct answer is '3'. 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. F is injured and E has to perform Kathak. In how many ways can a team perform folk dance now?Correct answer is '3'. 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. F is injured and E has to perform Kathak. In how many ways can a team perform folk dance now?Correct answer is '3'. 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. F is injured and E has to perform Kathak. In how many ways can a team perform folk dance now?Correct answer is '3'. Can you explain this answer?.

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