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Find the coefficient of x^4 in the expan...

Find the coefficient of `x^4` in the expansion of `(1+x+x^2+x^3)^(11)dot`

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RD SHARMA ENGLISH-BINOMIAL THEOREM-All Questions
  1. Find the middle term in the expansion (2/3x^2-3/(2x))^(20) .

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  2. Find the middle terms in the expansion (3x-(x^3)/6)^7 .

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  3. Find the coefficient of x^4 in the expansion of (1+x+x^2+x^3)^(11)dot

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  4. The term independent of x in expansion of ((x+1)/(x^(2/3)-x^(1/3)+1)...

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  5. Prove that there is no term involving x^6 in the expansion of (2x^2-3...

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  6. Find the term independent of x in the expansion of (3x^2-1/(2x^3))^(10...

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  7. Find the coefficient of x^(50) after simplifying and collecting the li...

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  8. Find the coefficient of x^n in the expansion of (1+x)(1+x)^ndot

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  9. If a1,a2, a3, a4 be the coefficient of four consecutive terms in the e...

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  10. Find the number of integral terms in the expansion of (5^(1/2)+7^(1/8)...

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  11. Find the coefficients of x^7 in (a x^2+1/(b x))^(11)and x^(-7)i n(a...

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  12. Find the coefficient of x^5 in the expansion of (1+x)^(21)+(1+x)^(22)+...

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  13. If the middle term in the binomial expansion of (1/x+xsinx)^(10) is eq...

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  14. Find the greatest value of the term independent of x in the expansion ...

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  15. If o be the sum of odd terms and E that of even terms in the expansion...

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  16. Using binomial theorem, expand {(x+y)^5+(x-y)^5}dot and hence find the...

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  17. Using binomial theorem, prove that 2^(3n)-7n-1 is divisible by 49 , wh...

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  18. Using binomial theorem, prove that (101)^(50)> 100^(50)+99^(50)dot

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  19. Expand (x^2+2a)^5 by binomial theorem.

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  20. Prove that sum(r=0)^n^n Cr3^r=4^n

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