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Permutation & Combination : How many different groups of 3 partners can be formed?

Permutation & Combination : How many different groups of 3 partners can be formed?

Solve the following question:

A certain law firm consists of 4 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? (Two groups are considered different if at least one group member is different.)

A) 48
B) 100
C) 120
D) 288
E) 600

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