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Question -

There are 5 books on Mathematics and 6 books on Physics in a book shop. In how many ways can a student buy:
(i) a Mathematics book and a Physics book
(ii) either a Mathematics book or a Physics book?



Answer -

(i) Given: there are5 books of mathematics and 6 books of physics.

In order to buy onemathematics book, number of ways is 5C1 similarlyto buy one physics book number of ways is 6C1

Hence, the number ofways a student buy a Mathematics book and a Physics book is 5C1 × 6C1 =5 × 6 = 30

(ii) Given: there isa total of 11 books.

So in order to buyeither a Mathematics book or a Physics book it means that only one book out ofeleven is bought.

Hence, the number ofways in which a student can either buy either a Mathematics book or a Physicsbook is 11C1 = 11

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