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If|x|<1, then the coefficient of x^6 in ...

If|x|<1, then the coefficient of `x^6` in the expansion of `(1+x + x^2)^-3` is:

A

3

B

6

C

9

D

12

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MODERN PUBLICATION-BINOMIAL THEOREM-EXERCISE
  1. The coefficient of x^n, where n is any positive integer, in the expans...

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  2. If ""^(2n+1)P(n-1): ""^(2n-1)Pn =3:5 then the value of n equals :

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  3. If|x|<1, then the coefficient of x^6 in the expansion of (1+x + x^2)^-...

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  4. ""^15C0.""^5C5+""^15C1.""^5C4+""^15C2.""^5C3+ ""^15C3.^5C2+""^15C4.""^...

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  5. Every body in a room shakes hand with every body else. The total numbe...

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  6. ""^15C8+""^15C9-""^15C6-""^15C7=

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  7. If the rth term in the expansion of (x/3-2/x^2)^10 contains x^4, then ...

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  8. If 5^(99) is divided by 13, the remainder is

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

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

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

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

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

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  14. (""^8C0)/6-""^8C1+""^8C2 .6-""^8C3 .6^2+....+ ""^8C8 .6^7 =

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

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

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

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

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

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

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