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(A)There are 33 students in a graduate class. The students are to be divided into three...

(A)There are 33 students in a graduate class. The students are to be divided into three groups of 10, 11, and 12 members for a class project. How divisions are possible?

(B) A committee of 13 is to be chosen from a group consisting of 14 men and 15 women. How many committees are possible?

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Answer #1

A)

number of ways to divide 33 students into 3 groups of 10.11,12 =33!/(10!*11!*12!)

=125149745841119

B)

number of committess of 13 from total 29 people =(29C13)=29!/(!3!*16!) =67863915

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