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Old 03-20-2008, 02:15 PM  
D
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Join Date: Jan 2006
Location: The Valley
Posts: 7,412
Quote:
Originally Posted by cyberxxx View Post
Still no one is able to prove the answer with formula?
We wrote the answer, already. :-P

It's just a matter of expanding the right of the equality and then rewriting it in factorial form.

2^15*3^6*5^3*7^2*11*13=

2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x3x3x3x3x3x3x5x5x5x7x 7x11x13=

2x3x(2x2)x5x(2x3)x7x(2x2x2)x(3x3)x(2x5)x11x(2x2x3) x13x(2x7)x(3x5)x(2x2x2x2)=

2x3x4x5x6x7x8x9x10x11x12x13x14x15x16=

16 factorial=

16x15x14x13x12x11x10x9x8x7x6x5x4x3x2x1=

1x2x3x4x5x6x7x8x9x10x11x12x13x14x15x16

n=16

Q.E.D.

Still... good to see a father taking such an interest in his son's math homework. If more did so, I think we'd be further along a better path.
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Last edited by D; 03-20-2008 at 02:17 PM..
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