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Combination

The number of...

Question

The number of committees of five persons with a chairperson that can be formed from 12 persons, is
(a) ¹²C₅
(b) ¹²C₄
(c) 12 × ¹¹C₄
(d) ¹¹C₄

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Solution

For committee consisting of 5 persons with are chair person, from 12 persons.
Chair persons can be selected in 12 ways.
Remaining 4 can be selected from remaining 11
Hence, number of committee of five person with a chair person is 12 × ¹¹C₄
Hence, the correct answer is option C.

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