A business organization needs to make up a 6 member fund-raising committee. The organization has 10 accounting majors and 7 finance majors. In how many ways can the fund-raising committee be formed if at most 1 accounting major is on the committee?

Question

Lilliana Carlson

Mathematics

3 August, 18:24

A business organization needs to make up a 6 member fund-raising committee. The organization has 10 accounting majors and 7 finance majors. In how many ways can the fund-raising committee be formed if at most 1 accounting major is on the committee?

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Answers (1)

Know the Answer?

Blaine Craig · Answer 1

Correct answer: 210 ways

Step-by-step explanation:

We will solve this using a combination without repetition (n k) / k!

The total number of combinations is

(10 1) · (7 5) / 5! = 10 · (7 2) / 2! = 10 · (7 · 6) / 2 = 10 · 42 / 2 = 10 · 21 = 210

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