A firm has 3 senior partners and 5 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) 30  B) 34  C) 38  D) 42  E) 46
The total number of ways to form a group of 3 is 8C3 = 56   The number of groups without a senior partner is 5C3 = 10   The number of groups which include a senior partner is  56-10= 
<gadget id="calculator"> 56-10</gadget>
<output>46</output>
46   The answer is 46.
<result>E</result>
A firm has 3 senior partners and 5 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)