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

Expert Answers
jeew-m eNotes educator| Certified Educator

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.