A committee of four is to be selected from a group of fourteen people. How many different committees are possible, given the following conditions? (a) There is no distinction between the responsibilities of the members. (b) One person is the chair, and the rest are general members. (c) One person is the chair, one person is the secretary, one person is responsible for refreshments, and one person cleans up after meetings.

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A committee of four is to be selected from a group of fourteen people. How many different committees are possible, given the following conditions?

(a) There is no distinction between the responsibilities of the members.


(b) One person is the chair, and the rest are general members.


(c) One person is the chair, one person is the secretary, one person is responsible for refreshments, and one person cleans up after meetings.

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