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Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. A committee of five members is to be formed out of 5 students, 3 teachers and 2 coaches. Quantity A: The number of ways, the committee can be formed which consists of 2 students, 2 teachers and 1 coach. Quantity B: The number of ways, the committee can be formed which consists of any five people.

Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. A committee of five members is to be formed out of 5 students, 3 teachers and 2 coaches. Quantity A: The number of ways, the committee can be formed which consists of 2 students, 2 teachers and 1 coach. Quantity B: The number of ways, the committee can be formed which consists of any five people. Correct Answer Quantity B > Quantity A

Firstly we will find Quantity A,

Quantity A:

Number of ways to choose 2 students from 5 students = 5C2 = 10

Number of ways to choose 2 teachers from 3 teachers = 3C2 = 3

Number of ways to choose 1 coach from 2 coaches = 2C1 = 2

∴ Total number of ways = 10 × 3 × 2 = 60

Now,

Quantity B:

Total number of people = 5 + 3 + 2 = 10

Number of ways to choose 5 people from 10 people = 10C5 = 252

Quantity B > Quantity A

 

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