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Q.

There are 20 books on Algebra and calculus in one library. For the greatest number of selections each of which consists of 5 books on each topic. If the possible number of Algebra books are N then the value of N is____________ .

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answer is 10.

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Detailed Solution

Let r no. of books of algebra and 20 - r of calc. no. of selections=rC5×20−rC5,which has maximum value when r=10.
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