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If coca cola must form an ethics subcommittee of four members, how many different...

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surfer3 | Valedictorian

Posted May 22, 2012 at 10:23 PM via web

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If coca cola must form an ethics subcommittee of four members, how many different subcommittees are possible?

There are 11 members on the board of directors for the coca cola company.

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Matthew Fonda | eNotes Employee

Posted May 22, 2012 at 11:12 PM (Answer #1)

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We have 11 different members we can choose from, and we want to count the number of committes consisting of 4 members. To solve this sort of problem, we use combinations:

`11C4 = ((11),(4)) = (11!) / (4!7!) = 330`

Therefore there are 330 ways Coca-Cola can form an ethics subcommitte of four members from the 11 member board of directors.

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