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April 18, 2014

April 18, 2014

Posted by **Luke** on Sunday, April 17, 2011 at 4:47pm.

- Math -
**MathMate**, Sunday, April 17, 2011 at 6:19pmA line-up has 9 members, of which the first three have been determined. Therefore it is out of 12 remaining we choose 6. The number of ways is C(12,6), or 12 choose 6.

The formula for "n choose r", or C(n,r) is

C(n,r)=n!/(r!(n-r)!)

So "12 choose 6"

= 12!/(6!(12-6)!)

= 12*11*10*9*8*7/(1*2*3*4*5*6)

= 924.

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