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 Post subject: Expanding a factorial (k is a constant)Posted: Tue, 31 Jul 2012 03:09:49 UTC
 Member of the 'S.O.S. Math' Hall of Fame

Joined: Sat, 20 Nov 2010 21:17:02 UTC
Posts: 432
FACTORIALS. How do you expand the below factorial, where k is a constant?

((k+8)(n+1))!

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 Post subject: Re: Expanding a factorial (k is a constant)Posted: Tue, 31 Jul 2012 23:16:38 UTC
 Member of the 'S.O.S. Math' Hall of Fame

Joined: Mon, 19 May 2003 19:55:19 UTC
Posts: 7949
Location: Lexington, MA
Hello, A-R-Q!

We can do a little simplifying . . .

Quote:
How do you expand this factorial, where k is a constant? .

We have: .

. . . . .

. . . . . . . . . .

. . . . .

. . . . .

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 Post subject: Re: Expanding a factorial (k is a constant)Posted: Tue, 31 Jul 2012 23:46:43 UTC
 S.O.S. Oldtimer

Joined: Fri, 27 Jul 2007 10:17:26 UTC
Posts: 278
Location: Chandler, AZ, USA
Soroban wrote:
Hello, A-R-Q!

We can do a little simplifying . . .

Quote:
How do you expand this factorial, where k is a constant? .

We have: .

. . . . .

. . . . . . . . . .

. . . . .

. . . . .

Would it not be the following?

would be a factor of the first term in [ ]'s of the factorial, but not the subsequent terms,
since , etc.

Edit (outermeasure): Disable smilies.

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 Post subject: Re: Expanding a factorial (k is a constant)Posted: Wed, 1 Aug 2012 14:10:44 UTC
 Member of the 'S.O.S. Math' Hall of Fame

Joined: Mon, 19 May 2003 19:55:19 UTC
Posts: 7949
Location: Lexington, MA
Hello, alstat!

Absolutely right! . . . *blush*

Everyone, please ignore my first post.

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