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In how many ways can a 6-person safety committee be selected from 12 people?
Wiki User
∙ 13y ago
-6
Russell Herman
Wiki User
∙ 13y ago(12!/6!)/6! is the formula.
6 people can be selected from a pool of 12 people in (12 x 11 x 10 x 9 x 8 x 7) = 665,280 ways.
But each group of 6 can be selected and seated in (6 x 5 x 4 x 3 x 2 x 1) = 720 ways.
So the number of different 6-person subcommittees formed from 12 people is (665,280/720) = 924 .
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