Question: Solve the problem involving combinations. A city council is composed of 5 liberals and 4 conservatives. Three members are to be selected randomly as delegates

Solve the problem involving combinations.

A city council is composed of 5 liberals and 4 conservatives. Three members are to be selected randomly as delegates to a convention.

(a) How many delegations are possible?

(b) How many delegations could have all liberals?

(c) How many delegations could have 2 liberals and 1 conservative?

(d) If 1 member of the council serves as mayor, how many delegations are possible that include the mayor?

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