Question: a. Five managers gather for a meeting. If each manager shakes hands with each other manager exactly once, what is the total number of handshakes?

a. Five managers gather for a meeting. If each manager shakes hands with each other manager exactly once, what is the total number of handshakes?
b. If n managers shake hands with each other exactly once, what is the total number of handshakes?
c. How many different ways can 5 managers be seated at a round table? (Assume that if everyone moves to the right, the seating arrangement is the same.)
d. How many different ways can n managers be seated at a round table?

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