Allen, Bob, Chloe, and Dean are four senators on a certain subcommittee. Any or none of them may be selected to another subcommittee. How many different variations for the new subcommittee are there?

Felix Cohen

Felix Cohen

Answered question

2022-09-03

Allen, Bob, Chloe, and Dean are four senators on a certain subcommittee. Any or none of them may be selected to another subcommittee. How many different variations for the new subcommittee are there?

Answer & Explanation

Leon Webster

Leon Webster

Beginner2022-09-04Added 17 answers

you have four senators, now we have to check all possibilities:
1 member only: 4 diferent ways
2 members: 4combination2= 4!/(2!2!)=6
3 members: 4 combination 3=4!/(3!1!)=4
4 members: 1
addem up = 15 different ways

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