Question

A bride is going to choose 4 bridesmaids from a group of 10. In how many ways can she choose 4 bridesmaids?

Answer 1

Answer: 210

Explanation:

Answer 2

210

Explanation:

This is the problem of combination.

Number of ways of choosing x thing out n different thing is given by

`{n \choose x} = n!/x!(n-x)!`

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The number of bridesmaids = 10

number of bridesmaids, bride can choose = 4

Thus, Number of ways of choosing 4 bridesmaids thing out 10 bridesmaids is given by

`{10 \choose 4} = 10!/4!(10-4)! = 10!/4!6!\\=> 10*9*8*7*6!/4*3*2*1 *6! = 5*3*2*7 = 210`

Thus, in 210 ways can she choose 4 bridesmaids.