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6 August, 13:04

Ron finds 9 books at a bookstore that he would like to buy, but he can afford only 5 of them. In how many ways can he make his selection? How many ways can he make his selection if he decides that one of the books is a must?

a. 3024; 1680

b. 7560; 840

c. 120; 1680

d. 126; 70

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  1. 6 August, 14:52
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    d. 126; 70

    Step-by-step explanation:

    given that Ron finds 9 books at a bookstore that he would like to buy, but he can afford only 5 of them.

    Out of 9 books he has to select 5 of them

    Here selection of books can be done in any order. Hence order does not matter

    No of ways he selects 5 books out of 9 books = 9C5

    = 126

    Part II

    One book is a must

    Hence he has options only 4 books from the remaining 8.

    No of ways when one book is compulsory = selecting 3 books from 8 books

    = 8C4

    = 70

    Option d is right.
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