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There are 8 members on a board of directors. If they must form a subcommittee of 6...

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surfer3 | Valedictorian

Posted May 19, 2012 at 4:24 PM via web

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There are 8 members on a board of directors. If they must form a subcommittee of 6 members, how many different subcommittees are possible

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted May 19, 2012 at 4:32 PM (Answer #1)

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The number of 6 member sub-committees that can be formed from 8 members on a board of directors is given by C(8, 6) as it is only the members chosen that matter here not the order in which they are chosen.

C(8, 6) = `(8!)/(6!*2!)`

=> 28

The number of 6 member sub-committees that can be formed is 28

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