PLEASE HELP! Determine the number of subsets of 4 elements taken from a set of 11 elements if order does not matter. a) 330 b) 7920 c) 1663200 d) 14641

A.) 330 ways

Step-by-step explanation:

We are to determine the number of subsets with 4 elements that can be formed from a set containing 11 elements.

Since the arrangement doesn't matter, it's a combination problem.

We are to take out a subset containing 4 elements at a time ; from a set with 11 elements

Recall :

nCr = n! / (n-r)! r!

11C4 = 11! / (11 - 4)! 4!

11C4 = 11! / 7!4!

11C4 = (11 * 10 * 9 * 8) / 4 * 3 * 2 * 1

11C4 = 7920 / 24

11C4 = 330 ways

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