Combinations

The three competitors on a race have to be randomly chosen from a group of five men and three women. How many different such trios contain at least one woman?

A. 10
B. 15
C. 16
D. 30
E. 46

The OA isE

Source: Economist GMAT

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shekki: Newbie | Next Rank: 10 Posts; Posts: 6; Joined: Tue Jun 30, 2020 11:41 am

Re: Combinations

by shekki » Mon Aug 17, 2020 12:48 pm

Ways to choose no woman = 5C3
Ways to choose 3 candidates out of 8 = 8C3
Ways for atleast one woman = 8C3-5C3 = 46

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