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September 30, 2014

September 30, 2014

Posted by **Anna** on Saturday, January 2, 2010 at 11:43pm.

- Probability -
**Reiny**, Saturday, January 2, 2010 at 11:52pmThe number of committees without restrictions is C(16,5) = 4368

The number of committees without any geography teachers is C(14,5) = 2002

So the number of ways with at least one geography teacher is 4368-2002 = 2366

or:

1 geography teacher : C(2,1)*C(14,4) = 2002

2 geography teachers : C(2,2)*C(14,3) = 364

sum = 2002+364 = 2366 (as above)

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