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

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

Please explain your answer.
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 [#permalink] New post 25 Nov 2005, 19:51
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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 [#permalink] New post 26 Nov 2005, 00:07
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)


agreed 56 is the answer.
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  [#permalink] 26 Nov 2005, 00:07
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In how many ways can 8 boys be divided into two sets

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