Question

In how many ways can six members be selected from a group of ten members?

Answer 1

If one person is always fixed, we have to select 5 more people from remaining 9.

5 people can be selected out of 9 in C(9,5) ways.

= 9!/(4! 5!) = 9 x 8 x 7 x 6/(4 x 3 x 2 x 1)

= 126 ways

Answer 2

Given:

Total number of members = 10

To Find :

In how many ways can six members be selected from a group of ten members?

Solution:

Total number of members = 10

We are supposed to find how many ways can six members be selected from a group of ten members

So, we will use combination :

Formula : $^nC_r=\frac{n!}{r!(n-r)!}$

So.No. of ways to select six members from a group of ten members =$\frac{10!}{6!(10-6)!}=210$

Hence there are 210 ways to select six members from a group of ten members.