The three competitors in a race have to be randomly chosen from a group of three men and three women...

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

Quiz

Answer/Solution

19

Steps/Work

The total number of ways to choose three runners 6C3 = 20
The number of trios with only males is 3C3 = 1
The number of trios which include at least one woman is 19.
The answer is D.