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Write (33)! = [32.16.8.4.2]. [33.31.30…3...

Write `(33)!` = [32.16.8.4.2]. [33.31.30…3.1] Hence, prove that `(33)!` is divisible by `2^15`

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A N EXCEL PUBLICATION-PERMUTATIONS AND COMBINATIONS-QUESTION BANK
  1. Express (2x+1)! in terms of (2x-1)!,(x+2)! in terms of (x-1)!.Hence,...

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  2. Write (2n)! =2n(2n-1)(2n-2) …3.2.1. Then combine the even factors and ...

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  3. Write (33)! = [32.16.8.4.2]. [33.31.30…3.1] Hence, prove that (33)! is...

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  4. Sumit goes to a movie. The cinema hall has two entrances and three exi...

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  5. In a class there are 25 boys and 10 girls. The teacher wants to select...

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  6. Given that p(n,r)=(n!)/((n-r)!) What are the values of P(5, r) and P(6...

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  7. If 5 xx 4Pr = 6 xx 5P(r-1) find 'r'.

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  8. Given that P(n, r)=n(n-1)(n-2)….to r factors What are the values of P(...

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  9. Given that P(n, r)=n(n-1)(n-2)….to r factors If P(n, 4) = 20 P(n, 2),...

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  10. Prove that ^9p5+5^9p4=(10!)/(5!)

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  11. If ^9p5+5^9p4=^10pr.prove that r=5

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  12. Prove that ""^(2n+1)P(n-1)=((2n+1)!)/((n+2)!) and ""^(2n-1)Pn=((2n-1)...

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  13. if ^(2n+1)p(n-1):^(2n-1)pn=3:5, prove that n = 4

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  14. In how many ways ‘n’ objects can be arranged together in a line?

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  15. For a group photograph, 3 boys and 2 girls stand in a line in all poss...

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  16. Consider the word ‘LOGARITHMS' How many distinct letters are there in ...

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  17. Consider the word ‘LOGARITHMS' How many 4 letter words, with or withou...

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  18. Consider the word ‘LOGARITHMS' How many 4 letter words, with or withou...

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  20. Consider the word ‘RESHMA’ How many vowels are there in the given wor...

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