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In how many ways can a committee of 5 be selected from a group of...

Mathematics
JAMB 2024

In how many ways can a committee of 5 be selected from a group of 7 males and 3 females, if the committee must have one female?

  • A. 105ways
  • B. 135 ways
  • C. 210 ways
  • D. 231 ways
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Correct Answer: Option A
Explanation

To form a committee of 5 from 7 males and 3 females with at least one female:

Choose 1 female from 3: \(^3C_1\) = 3

Choose 4 males from 7: \(^7C_4\) = 35

Total ways = 3 × 35 = 105

The total number of ways to select the committee is: 105ways.

There is an explanation video available below.


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Explanation Video

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