First slide

Combinations

Question

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____________ .

Moderate

Solution

Let r no. of books of algebra and 20 - r of calc. no. of selections $=^{r} C_{5} \times^{20 - r} C_{5}$ ,
which has maximum value when $r = 10$ .

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