A company's board of directors wants to form a committee of 2 of its members. There are 5 members to choose from. How many different committees of 2 members could possibly be formed

Question

Mathematics

Braeden Maynard

22 May, 05:38

A company's board of directors wants to form a committee of 2 of its members. There are 5 members to choose from. How many different committees of 2 members could possibly be formed

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Alayna Becker · Answer 1

When choosing "r" things from a larger set of "n" things, the formula is:

combinations = n! / (r! * (n-r) !)

combinations = 5 * 4 * 3 * 2 * 1 = (2!) * (3!)

combinations = 5 * 4 * 3 * 2 * 1 = (2 * 6)

combinations = 5 * 2

combinations = 10