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Find `n ,if(n+1)! =12xx(n-1)!dot`

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Prove that the coefficients of x^n in (1+x)^(2n) is twice the coefficient of x^n in (1+x)^(2n-1)dot

Find the value of n if: 2n! n! =(n+1)(n-1)(!(2n-1)!

Find the sum 1 xx 2 xx .^(n)C_(1) + 2 xx 3 xx .^(n)C_(2) + "….." + n xx (n+1) xx .^(n)C_(n) .

Find the value of n if: (i) (n+2)! = 12n! (ii) (n+2)! = 60(n-1)! (iii) (n+3)! = 2550 (n+1)! (iv) (n-2)! = 132. (n-4)! .

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CENGAGE ENGLISH-PERMUTATIONS AND COMBINATIONS-All Questions
  1. Let C1, C2, ,Cn be a sequence of concentric circle. The nth circle ...

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  2. In how many ways can four people, each throwing a dice once, make a su...

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  3. Find n ,if(n+1)! =12xx(n-1)!dot

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  4. Find the value of t which satisfies (t-[|sin x|])! = 3!5!7! w h e r e[...

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  5. Find the total number of integer n such that 2lt=nlt=2000 and H.C.F. o...

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  6. Find the number of polynomials of the form x^3+a x^2+b x+c that are di...

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  7. Find the numbers of diagonals in the polygon of n sides.

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  8. Find the total number of n -digit number (n >1) having property that n...

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  9. Prove that (n !)^2 < n^n n! < (2n)!, for all positive integers n.

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  10. Find the sum of the series sum(r=1)^n rxxr !dot

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  11. Find the exponent of 80 in 200!.

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  12. Prove that .^(n-1) Pr+r .^(n-1) P(r-1) = .^nPr

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  13. How many ways are there to seat n married couples (ngeq3) around a tab...

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  14. A round-table conference is to be held among 20 delegates belonging fr...

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  15. How many numbers can be formed from the digits 1, 2, 3, 4 when repetit...

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  16. Find the three-digit odd numbers that can be formed by using the digit...

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  17. If nP5=20nP3 find the value of n

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  18. Find the total number of ways of selecting five letters from the word ...

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  19. Passengers are to travel by a double decked bus which can accommodate ...

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