A firm has 4 senior partners and 4 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
A) 40  B) 44  C) 48  D) 52  E) 56
The total number of ways to form a group of 3 is 8C3 = 56   The number of groups without a senior partner is 4C3 = 4   The number of groups which include a senior partner is  56-4= 
<gadget id="calculator"> 56-4</gadget>
<output>52</output>
52   The answer is 52.
<result>D</result>
A firm has 4 senior partners and 4 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)