A firm has 3 senior partners and 6 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner? (2 groups are considered different if at least one group member is different)	Pick one:  A) 64  B) 72  C) 84  D) 96  E) 120
The total number of ways to form a group of 3 is 9C3 = 84   The number of groups without a senior partner is 6C3 = 20   The number of groups which include a senior partner is  84-20= 
<gadget id="calculator"> 84-20</gadget>
<output>64</output>
64   The answer is 64.
<result>A</result>
A firm has 3 senior partners and 6 junior partners. How many different groups of 3 partners can be formed in which at least one member of the group is a senior partner? (2 groups are considered different if at least one group member is different)