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?  Choose the correct option
A) 13 B) 15 C) 17 D) 19 E) 21
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 19.
<result>D</result>
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?