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Find the sum sum(k=0)^(10).^(20)Ck....

Find the sum `sum_(k=0)^(10).^(20)C_k`.

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CENGAGE PUBLICATION-BINOMIAL THEOREM-All Questions
  1. If (1+x-2x^2)^(20)=a0+a1x+a2x^2+a3x^3+...+a(40)x^(40), then find the v...

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  2. Find the sum of the series .^15 C0+^(15)C1+^(15)C2+...............+^(1...

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  3. Find the sum sum(k=0)^(10).^(20)Ck.

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  4. Find the sum of all the coefficients in the binomial expansion of (x^2...

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  5. If the sum of coefficient of first half terms in the expansion of (x+y...

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  6. Find the value of underset(p=1)overset(n)sum(underset(m=p)overset(n)su...

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  7. Show that the middle term in the expansion of (x+1)^(2n) is (1.3.5.......

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  8. If the middle term in the expansion of (x^2+1//x)^n is 924 x^6 , then...

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  9. The first three terms in the expansion of (1+a x)^n(n!=0) are 1,6x and...

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  10. If x^4 occurs in the rth term in the expansion of (x^4+1/(x^3))^(15), ...

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  11. Find the coefficient of x^(-10) in the expansion of (a/x+b x)^(12) .

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  12. Find the constant term in the expansion of (x-1/x)^6dot

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  13. If the coefficients of (r-5) th and(2r-1) th terms in the expansion of...

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  14. In ( 2^(1/3)+1/3^(1/ 3))^n if the ratio of 7th term from the beginnin...

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  15. If the coefficient of 4th term in the expansion of (a+b)^n is 56, then...

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  16. If p and q are positive, then prove that the coefficients of x^p and x...

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  17. Find the number of irrational terms in the expansion of (5^(1//6)+2^(1...

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

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  19. The co-efficient of a^(3)b^(4)c^(5) in the expansion of (bc+ca+ab)^(6)...

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  20. The coefficient of x^7 in the expansion of (1-x-x^2+x^3)^6 is

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