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Do Secure | https://www.mathd.com/Studen spx?homeworkld-45046 5032&question;!d=6&flushed-f; Topics in Applied College Math Homework: Section 11.3 Homework Score: 0 of 1 pt |2 of 19 (12 complete) Next Question 11.3.37 In how many ways can a committee of four men and three women be formed from a group of eight men and ten women? ork A committee of four men and three women can be formed from agro pofeight men and ten worenindifrent ways se O Enter your answer in the answer box and then click Check Answer All parts showing Clear All 23 #6

Explanation / Answer

There are eight men and ten women.

The four men can be chosen out of eight in 8C4 = 8! / (4! * 4!) = (8 * 7 * 6 * 5) / (4 * 3 * 2 * 1)

= 70 ways.

The three women can be chosen out of ten in 10C3 = 10! / (7! * 3!) = (10 * 9 * 8) / (3 * 2 * 1)

= 120 ways.

Overall the committee can be formed in 70 * 120 = 8400 ways.

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