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It is required to divide 12 children of different heights into two groups. Find the...

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roshan-rox | Valedictorian

Posted July 11, 2013 at 10:25 PM via web

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It is required to divide 12 children of different heights into two groups. Find the number of ways in which this can be done

b)If each group consists of 6 children

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jeew-m | College Teacher | (Level 1) Educator Emeritus

Posted July 11, 2013 at 11:02 PM (Answer #1)

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Here we have some important part. We have to select a group of 6 which will be finally forming 2 groups with six children. Bu when we select a six group set the remain is also a six group set.

Ways to select 6 from 12 `= ^12c_6`

But when we select 6 from 12 the rest is also a group of six which is already included in the set we calculated. So to get the correct answers we have get the half of the `^12C_6` .


So ways to select 6 from 12 `= 1/2xx^12C_6 = 462`

So we have 462 ways to select groups of 6 children.

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