A firm has 2 senior partners and 5 junior partners.
A firm has 2 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.)
Answer/Solution
25
Steps/Work
The number of ways to form a group of 3 is 7C3 = 35
The number of groups with no senior partner is 5C3 = 10
The number of groups with at least one senior partner is 35-10 = 25
The answer is C.
The number of groups with no senior partner is 5C3 = 10
The number of groups with at least one senior partner is 35-10 = 25
The answer is C.