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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)┬аGiven: there are5 books of mathematics and 6 books of physics.

In order to buy onemathematics book, number of ways is┬а5C1┬аsimilarlyto buy one physics book number of ways is┬а6C1

Hence, the number ofways a student buy a Mathematics book and a Physics book is┬а5C1┬а├Ч┬а6C1┬а=5 ├Ч 6 = 30

(ii)┬аGiven: 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┬а11C1┬а= 11

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