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# In how many ways can 8 boys be divided into two sets

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Intern
Joined: 18 Aug 2005
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In how many ways can 8 boys be divided into two sets [#permalink]  25 Nov 2005, 16:25
In how many ways can 8 boys be divided into two sets containing 5 and 3 respectively?

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If we make a set of 5 out of 8, the remaining 3 will automatically make a set of 3.

or the vice versa.

number of ways to make a set of 5 out of 8 boys = 8C5 = 56
(same as 8C3)
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Whether you think you can or think you can't. You're right! - Henry Ford (1863 - 1947)

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Joined: 28 May 2005
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duttsit wrote:
If we make a set of 5 out of 8, the remaining 3 will automatically make a set of 3.

or the vice versa.

number of ways to make a set of 5 out of 8 boys = 8C5 = 56
(same as 8C3)

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hey ya......

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