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
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
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 \times 35 = 105
The total number of ways to select the committee is: 105ways.
Source: WAEC / JAMB / NECO Classroom Archive (Record #70291)