The principal would like to assemble a committee of students from the -member student How many different committees can be chosen

The number of different committees that can be chosen from a group of members is calculated using the combination formula:

nCk = n! / (k!(n-k)!)

Where n is the total number of members in the group and k is the number of members to be chosen for the committee.

If the number of total members in the student body is not specified, the number of different committees that can be chosen is simply infinite since there is no limit to the number of possible combinations of committee members.