Question

SKYCTC wants to create a committee of 4 faculty members to investigate which local town would benefit most from a new branch of the college. If there are 90 full-time faculty to choose from, how many different committees of 4 could be formed?

Answer 1

Solution We have a lotal of 90 full-time faculty members. we need to create a committee of 40 faculty members from these 90 full-time faculty members, since the ordere in which we choose these 4 folembers does not matter, so we can form this 4 membere / 90 committee in z 901 (40-4)! 45 ways 90! 861 x 4 ! = 90x89 x 88 x 87 +8615 867 x 4! = 30 90 x 89 x 88 22987 4x2x2x1 a 15x89x87x 22 2,555,190 ways different So we can fosim 2,555,190, committees of 4 memberes from the given 90 memberes.

For further queries, please comment below.

Thank you.