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# A class consists of 12 girls and 10 boys. In how many ways

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Manager
Joined: 28 Aug 2004
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A class consists of 12 girls and 10 boys. In how many ways [#permalink]  06 Jun 2005, 01:22
A class consists of 12 girls and 10 boys. In how many ways can the class form a line if the girls always remain in order from shortest to tallest within the line and the boys always remain in order from tallest to shortest within the line?
Director
Joined: 18 Apr 2005
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Re: a line [#permalink]  06 Jun 2005, 02:49
Dan wrote:
A class consists of 12 girls and 10 boys. In how many ways can the class form a line if the girls always remain in order from shortest to tallest within the line and the boys always remain in order from tallest to shortest within the line?

22!/(12!10!) = 646,646
Senior Manager
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awesome improvisation sparky.

HMTG.
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