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The number of positive integers satisfyi...

The number of positive integers satisfying the inequality `""^(n+1)C_(n-2)-""^(n+1)C_(n-1) le50` is :

A

9

B

8

C

7

D

6

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MODERN PUBLICATION-BINOMIAL THEOREM-EXERCISE
  1. The total number of terms in the expansion of (x+y)^100 after simplifi...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. A rectangle with sides (2m-1) and (2n -1) is divided into squares of u...

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