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There are 20 books on algebra and calculus in our library.Prove that the greatest no. of selections each of which consists of 5 books on each topic is possible only when there are 10 books on each topic in library?

There are 20 books on algebra and calculus in our library.Prove that the greatest no. of selections each of which consists of 5 books on each topic is possible only when there are 10 books on each topic in library?

Grade:11

1 Answers

sumanth
12 Points
6 years ago
No; of books of algebra=10&No; of books of calculus=10Minimum books required for selection=5eachGreatest no; of selections are10c5+10c5=2*10c52*(10*9*8*7*6)/(5*4*3*2*1)=798 is the greatest number of selections

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