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? (Note that two groups are considered different if at least one group member is different.) Choices
A) 42	B) 46	C) 50	D) 54	E) 58
The number of ways to form a group of 3 is 8C3 = 56   The number of groups with no senior partner is 5C3 = 10   The number of groups with at least one senior partner is 56-10= 
<gadget id="calculator">56-10</gadget>
<output>46</output>
46   The answer is 46.
<result>B</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? (Note that two groups are considered different if at least one group member is different.)