In how many ways can a committee of 7 people comprising at least 3 boys be formed using a group of 5 boys and 6 girls?  Choose one.
A) 69  B) 64  C) 65  D) 66  E) None of these
There are 2 options: the selected groups have no girls or one girls.   -First case: 1 girl + 3 boys: 6C1 * 5C3 = 6*10= 
<gadget id="calculator">6*10</gadget>
<output>60</output>
60   -Second case: 4 boys: 5C4= 5   So there are 60 + 5 = 69 ways in total.   69
<result>A</result>
In how many ways can a committee of 7 people comprising at least 3 boys be formed using a group of 5 boys and 6 girls?