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?
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105ways
- 135 ways
- 210 ways
- 231 ways
The correct answer is: 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.
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