How many different committees can be formed from a group of two women and four men if three people are on the committee and at least one member must be a woman?
A. 6
B. 8
C. 10
D. 12
E. 16
Correct Answer: E
Explanation/Reference:
Explanation:
If at least one member must be a woman, the committee will have either one woman and two men or two women and one man. Use combinations because the order does not matter.
Choosing one woman and two men: 2C1 × 4C2 = = 12.
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Choosing two women and one man: 2C2 × 4C1 = .
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Since both situations would satisfy the requirement that at least one member is a woman, add the combinations.
12 + 4 = 16 total committees
