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How many committee of five persons with a chairperson can be selected from 12 persons? [Hint: Chairman can be selected in 12 ways and remaining in ^{11} C_4.]

 

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Out of 12 persons, a chairperson can be selected in ^{12}C_1 = 12 ways. 

The remaining 4 persons can be selected out of 11 persons in ^{11}C_4 = 330 ways 

Total number of committee = 12*330=3960

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