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Find the value of `sumsum_(0leilejlt=n)(i+j)(nC_i+n C_j)dot`

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Find the value of sumsum_(0leiltjlen) (""^(n)C_(i)+""^(n)C_(j)) .

Find the value of (sumsum)_(0leiltjlen) (1+j)(""^(n)C_(i)+""^(n)C_(j)) .

Find the sum sumsum_(0leiltjlen)"^nC_i

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Find the sum (sumsum)_(0leiltjlen) ""^(n)C_(i) .

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Find the sum sumsum_(0leiltjlen) "^nC_i "^nC_j

If (1+x)^n=C_0+C_1x+C_2x^2+……..+C_nx^n then the value of sumsum_(0lt=iltjlt=n)C_iC_j is (A) 2^(2n-1)- .^(2n)C_(n/2) (B) .^(2n)C_n (C) 2^n (D) none of these

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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
  1. Prove that "^n C0^(2n)Cn-^n C1^(2n-1)Cn+^n C2xx^(2n-2)Cn++(-1)^n^n Cn^...

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  2. Find the sum sum(r=0)^n^(n+r)Cr .

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  3. Find the value of sumsum(0leilejlt=n)(i+j)(nCi+n Cj)dot

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  4. Find the value of sumsum(0leilejlt=n)ci^n"" cj^ndot

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  5. Find the value of underset(0leiltjlen)(sumsum)(.^(n)C(i)+.^(n)C(j)).

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  6. Find the sum sumsum(0leiltjlen) "^nCi"^nCj

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  7. Prove that sum(r=0)^ssum(s=1)^n^n Cs^n Cr=3^n-1.

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  8. Find the sum sumsum(0leiltjlen)"^nCi

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  9. Find the coefficient of x^4 in the expansion of (x/2-3/x^2)^10.

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  10. Find the term in(3sqrt(((a)/(sqrt(b))) + (sqrt((b)/ ^3sqrt(a))))^(21) ...

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  11. Using the binomial theorem, evaluate (102)^5 .

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

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  13. Find a if the 7th and 18th terms of the expansion (2+a)^(50) are equal...

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  14. Find n , if the ratio of the fifth term from the beginning to the ...

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  15. Simplify: x^5+10 x^4a+40 x^3a^2+80 x^2a^3+80 x a^4+32 a^5dot

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  16. Find the value of (18^3+7^3+3xx18xx7xx25) /(3^6+6xx243xx2+15xx18xx4+20...

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  17. Find the approximation of (0. 99)^5 using the first three terms of its...

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  18. If for n in N ,sum(k=0)^(2n)(-1)^k(^(2n)Ck)^2=A , then find the value...

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  19. There are two bags each of which contains n balls. A man has to sele...

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  20. Find the sum sum(i=0)^r.^(n1)C(r-i) .^(n2)Ci .

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