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If Pm stands for ""^mPm, then : 1+1.P1+...

If `P_m` stands for `""^mP_m`, then : `1+1.P_1+2P_2+3P_3+.........+nP_n` is equal to ,

A

n!

B

`(n+3)!`

C

`(n+2)!`

D

`(n+1)!`.

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MODERN PUBLICATION-BINOMIAL THEOREM-EXERCISE
  1. If 5^(99) is divided by 13, the remainder is

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  2. The total number of terms in the expansion of (x+y)^100 after simplifi...

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  3. If Pm stands for ""^mPm, then : 1+1.P1+2P2+3P3+.........+nPn is equal...

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  4. The number of positive integers satisfying the inequality ""^(n+1)C(n-...

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  5. The number of diagonals of a polygon of 20 sides is :

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  6. he number of ways in which 5 boys and 5 girls can be seated for a phot...

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  7. (""^8C0)/6-""^8C1+""^8C2 .6-""^8C3 .6^2+....+ ""^8C8 .6^7 =

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  8. What is the smallest natural number n such that n ! is divisible by 99...

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  9. What is the number of words formed from the letters of the word ‘JOKE’...

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  10. Find the coefficient indepandent of x in the expansion of (1 + x +...

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  11. The number of ways in which 6 men and 5 women can sit at a round table...

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  12. A student is to answer 10 out of 13 questions in an examination such t...

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  13. If ""^nCr denotes the number of combinations of n things taken r at a ...

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  14. The number of integral terms in the expansion of (sqrt3 + root(8)(5))^...

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  15. The coefficient of t^24 in (1+t^2)^2 (1+ t^12) (1+ t^24) is:

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  16. How many ways are there to arrange the letters in me word ‘GARDEN’ wit...

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  17. If ^n-1Cr=(k^2-3)^n C(r+1),then k in

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  18. The coefficient of the middle term in the binomial expansion in powers...

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  19. Thr ciefficient of x^(n-2) in the polynomial (x-1)(x-2)(x-3)"…."(x-n),...

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  20. If the letters of the word SACHIN are arranged in all possible ways ...

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