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Find the coefficient of x^10 in the expa...

Find the coefficient of `x^10` in the expansion of : `(1+x+x^2+x^3 +.....+ x^10)^4`.

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MODERN PUBLICATION-BINOMIAL THEOREM-EXERCISE
  1. Find an approximation of (0.99)^5 using the first three terms of its e...

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  2. If 6th, 7th, 8th and 9th terms of (x+y)^n are a, b,c and d respectivel...

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  3. Find the coefficient of x^10 in the expansion of : (1+x+x^2+x^3 +........

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  4. If kr is the coefficient of y^(r-1) in the expansion of (1+2y)^10, in ...

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  5. If x^p occurs in the expansion of (x^2+1/x)^(2n), prove that its coeff...

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  6. Determine the term independent of x in the expansion of (1+x+x^(-2)+x^...

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  7. Find the value of (a^2+ sqrt(a^2-1))^4+(a^2- sqrt(a^2-1))^4.

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  8. If fourth term in the expansion of : {sqrt(x^(1/(logx+1)))+x^(1/12)}^6...

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  9. Find the value of x for which the sixth term of : (sqrt(2^(log(10-3^x)...

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  10. If in the expansion of (1-x)^(2n-1), the coefficient of x^r is denoted...

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  11. If C1,C2,C3,C4 are the coefficients of any four consecutive terms in t...

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  12. For the expansion of (1 + x)^n= C0+C1x+C2x^2+......+ Cn x^n, show that...

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  13. 7! div 5! is :

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  14. 3!+4! is

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  15. 4! -3! is :

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  16. If n=7 and r= 5, then the value of ""^nCr is :

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  17. If n=5 and r= 3, then the value of ""^nCr is :

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  18. If n=8 and r= 3, then the value of ""^nPr is :

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  19. The value of (12!)/(10!2!) is :

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  20. The value of (8!)/(6!xx2!) is :

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