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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. What is the probability of E performing Folk dance with F, I, D and J? (Round off your answer upto two decimal places, if required.)
Correct answer is '0.14'. Can you explain this answer?
Verified Answer
Ten dancers A to J go to a dance competition. The following informatio...
As seen in the solution to the first question of the set, out of seven combination, there is only one combination where E is with F, I, D and J.
Required probability = 1/7 = 0.1429 Answer: 0.14
View all questions of this test
Most Upvoted Answer
Ten dancers A to J go to a dance competition. The following informatio...
Understanding the given information:
- There are 10 dancers: A, B, C, D, E, F, G, H, I, and J.
- There are 3 performances: Kathak, Bharatnatyam, and Folk.
- Folk dance will have a group size between 3 and 5.
- Each dancer can only perform once and must be part of exactly one group.
- A, C, E, and F know Kathak.
- B, E, G, and H know Bharatnatyam.
- All dancers except A and B know Folk dance.
- C and D cannot dance together.
- F and I have to dance together.

Step-by-step approach to solving the problem:

Step 1: Determine the possible groups for each performance.

- Kathak: The dancers who know Kathak are A, C, E, and F. Since each performance needs a minimum of 1 dancer, the possible groups for Kathak are:
- Group 1: A
- Group 2: C
- Group 3: E
- Group 4: F

- Bharatnatyam: The dancers who know Bharatnatyam are B, E, G, and H. Since each performance needs a minimum of 1 dancer, the possible groups for Bharatnatyam are:
- Group 1: B
- Group 2: E
- Group 3: G
- Group 4: H

- Folk: All dancers except A and B know Folk dance. Since Folk dance requires a group size between 3 and 5, the possible groups for Folk dance are:
- Group 1: C, D, F, G, H
- Group 2: C, D, E, G, H
- Group 3: C, D, F, G, I
- Group 4: C, D, E, G, I
- Group 5: C, D, F, G, J
- Group 6: C, D, E, G, J
- Group 7: C, D, F, H, I
- Group 8: C, D, E, H, I
- Group 9: C, D, F, H, J
- Group 10: C, D, E, H, J

Step 2: Determine the possible combinations of dancers for the given conditions.

- C and D cannot dance together. This rule eliminates the following groups for Folk dance:
- Group 1: C, D, F, G, H
- Group 3: C, D, F, G, I
- Group 5: C, D, F, G, J
- Group 7: C, D, F, H, I
- Group 9: C, D, F, H, J

- F and I have to dance together. This rule eliminates the following groups for Folk dance:
- Group 4: C, D, E, G, I
- Group 6: C, D, E, G, J
- Group 8: C, D, E, H
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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. What is the probability of E performing Folk dance with F, I, D and J? (Round off your answer upto two decimal places, if required.)Correct answer is '0.14'. 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. What is the probability of E performing Folk dance with F, I, D and J? (Round off your answer upto two decimal places, if required.)Correct answer is '0.14'. 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. What is the probability of E performing Folk dance with F, I, D and J? (Round off your answer upto two decimal places, if required.)Correct answer is '0.14'. 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. What is the probability of E performing Folk dance with F, I, D and J? (Round off your answer upto two decimal places, if required.)Correct answer is '0.14'. Can you explain this answer?.
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