There are n members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 36 possible combinations in which Michael is not selected, what is the value of n?	Choose the correct choice from the following
A) 8  B) 9  C) 10  D) 11  E) 12
The combinations of two people, in which Michael was not selected = 36   The number of ways two people can be selected from m people = m*(m-1)/2   Let m be the number of people excluding Michael.   Then m*(m-1) = 72 = 9*8   Thus, n = m + 1(Michael) = 10   The answer is 10.
<result>C</result>
There are n members in a certain department, including Michael. Two representatives are to be selected to attend a company conference. If there are 36 possible combinations in which Michael is not selected, what is the value of n?