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How many committee of five person with a chairperson can be selected from 12 persons ?

Text Solution

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`because" "` Total number of persons = 12
and number of persons to be selected = 5
Out of 12 persons a chairperson is selected = `""^(12)C_(1) = 12` ways
Now, remaining 4 persons are selected out of 11 persons.
`therefore" "` Number of ways `= ""^(11)C_(4) = 330`
`therefore" "` Total number of ways to form a committee of 5 persons `= 12 xx 330 = 3960`
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