English

In how many ways a committee consisting of 3 men and 2 women, can be chosen from 7 men and 5 women?

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Question

In how many ways a committee consisting of 3 men and 2 women, can be chosen from 7 men and 5 women?

Options

  • 45

  • 350

  • 4200

  • 230

MCQ
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Solution

350

Explanation:

Out of 7 men, 3 men can be chosen in 7C3 ways and out of 5 women

2 women can be chosen in 5C2 ways.

Hence, the committee can be chosen in 7C3 × 5C2 = 350 ways.

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Chapter 7: Permutations and Combinations - Solved Examples [Page 120]

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NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 7 Permutations and Combinations
Solved Examples | Q 14 | Page 120

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