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Statement 1: The number of positive inte...

Statement 1: The number of positive integral solutions of `a b c=30` is 27. Statement 2: Number of ways in which three prizes can be distributed among three persons is `3^3`

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CENGAGE ENGLISH-PERMUTATIONS AND COMBINATIONS-All Questions
  1. If P = 21(21^2-1^2)(21^2-2^2)(21^2-3^2)...............(21^2-10^2),t h ...

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  2. Statement 1: number of ways in which 10 identical toys can be distri...

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  3. Statement 1: The number of positive integral solutions of a b c=30 is...

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  4. Prove by combinatorial argument that .^(n+1)Cr=^n Cr+^n C(r-1)dot

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  5. Prove that (n !)! is divisible by (n !)^((n-1)!)

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  6. Column I, Column II Number of straight lines joining any two of ...

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  7. If the number of selections of 6 different letters that can be made...

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  8. If n1 and n2 are five-digit numbers, find the total number of ways...

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  9. If n1a n dn2 are five-digit numbers, find the total number of ways ...

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  10. If a denotes the number of permutations of (x+2) things taken all at a...

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  11. If n Pr=^n P(r+1) and n Cr=^n C(r-1,) then the value of (n+r) i...

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  12. Let n be the number of ways in which 5 boys and 5 girls can stand in a...

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  13. (i) In how many ways can a pack of 52 cards be divided equally amon...

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  14. Let f(n)=sum(r=0)^nsum(k=r)^n(k r)dot Find the total number of divis...

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  15. True or false: The product of any r consecutive natural numbers is al...

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  16. Statement 1: Number of zeros at the end of 50! is equal to 12. Stateme...

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  17. Using permutation or otherwise, prove that (n^2)!/(n!)^n is an integer...

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  18. A number of 18 guests have to be seated, half on each side of a lon...

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  19. Ten persons numbered 1, 2,.....,10 play a chess tournament, each playe...

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  20. A box contains 2 white balls, 3 black balls & 4 red balls. In how many...

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