SOLUTION: A voice teacher selects 9 students to line up on stage. There are 11 men and 12 women. She puts 5 men in the middle with two women on each end. How many ways can this be done?

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Question 473010: A voice teacher selects 9 students to line up on stage. There are 11 men and 12 women. She puts 5 men in the middle with two women on each end. How many ways can this be done?

Answer by sudhanshu_kmr(1152)   (Show Source): You can put this solution on YOUR website!

number of ways to arrange 5 men = 11P5= 11!/6! = 55440
number of ways to arrange 4 women = 12P4 = 12!/8! = 11880
total number of ways = 55440 * 11880 = 658627200


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