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?

Assessment: JAMB UTME - Mathematics - 2024 Subject: General Mathematics

Question 1 Report

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?
Answer Details

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

Choose 1 female from 3: 3C1
 = 3

Choose 4 males from 7: 7C4
 = 35

Total ways = 3 × 35 = 105

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

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