From 10 names on a ballot, a committee of 4 will be elected to attend a political national convention. how many different committees are possible?

Number of committees that are possible =210

Step-by-step explanation:

Total names in ballot = 10

Total members to be elected for the committee = 4

So, we need the number of different ways in which 4 names out of 10 can be elected for the committee.

To find the number of ways in which the committee can be elected, we use the combinations which is given as

where represents total number of members and represents total number of members to be elected.

So,

[Canceling the common numbers]

∴ Number of committees that are possible =210