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How many ways can 2 men, 2 women and 2 children be selected from 6 men, 4 women and 3 children

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asked Nov 11, 2014 in ALGEBRA 2 by anonymous

1 Answer

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There are 6men, 4 women and 3 children.

2 men, 2 women and 2 childrens are selected.

Number of ways 2 men are selected from 6 men is image.

image

image

Number of ways 2 women are selected from 4 women is image.

image

Number of ways 2 childrens are selected from 3 children is image.

image

Therefore number of ways of selecting 2 men, 2 women and 2 childrens fom 6men, 4 women and 3 children is

image * image * image

= 15 * 6 * 3

= 270

Therefore there are 270 ways in selecting 2 men, 2 women and 2 childrens fom 6men, 4 women and 3 children.

answered Nov 11, 2014 by Lucy Mentor

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