Solution to (a) In how many ways can a committee of 3 faculty members and two students … - Sikademy
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Archangel Macsika

(a) In how many ways can a committee of 3 faculty members and two students be selected from 7 faculty members and 8 students (b) How many ways are there to distribute 12 different books among 15 people if no person is to receive more than one book

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a)


\dbinom{7}{3}\dbinom{8}{2}=\dfrac{7!}{3!(7-3)!}\cdot\dfrac{8!}{2!(8-2)!}=35\cdot28=980

980 ways.


(b) Number of selecting people is 


\dbinom{15}{12}

12 books can be arranged among themselves in 12!

Therefore the number of ways is


\dbinom{15}{12}\cdot12!=455\cdot479001600=217,945,728,000


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Question ID: mtid-5-stid-8-sqid-2773-qpid-1330