The three competitors in a race have to be randomly chosen from a group of three men and five women. How many different such trios contain at least one woman?
Choose one.
A) 48	B) 55	C) 62	D) 69	E) 76
The total number of ways to choose three runners 8C3 = 56   The number of trios with only males is 3C3 = 1   The number of trios which include at least one woman is 55.   The answer is 55.
<result>B</result>
The three competitors in a race have to be randomly chosen from a group of three men and five women. How many different such trios contain at least one woman?