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VIKAS GUPTA (BLACK BOOK) ENGLISH-BIONMIAL THEOREM-Exercise-4 : Subjective Type Problems
- The sum of series 3*""^(2007)C(0)-8*""^(2007)C(1)+13*""^(2007)C(2)-18...
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- In the polynomial function f(x)=(x-1)(x^(2)-2)(x^(3)-3)……..(x^(11)-11...
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- If 3^(101)-2^(100) is divided by 11, the remainder is
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- Find the hundred's digit in the co-efficient of x^(17) in the expansio...
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- Let x=(3sqrt(6)+7)^(89). If {x} denotes the fractional part of 'x' the...
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- Let n in N, Sn=sum(r=0)^(3n)^(3n)Cr and Tn=sum(r=0)^n^(3n)C(3r), then ...
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- Find the sum of possible real values of x for which the sixth term of ...
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- Let q be a positive with q le 50. If the sum ""^(98)C(30)+2" "^(97)C...
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- The remainder when (sum(k=1)^(5) ""^(20)C(2k-1))^(6) is divided by 11,...
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- Let a=3^(1/(223))+1 and for all geq3,l e tf(n)=^n C0dota^(n-1)-^n C1do...
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- In the polynomial (x-1)(x^(2)-2)(x^(3)-3)…(x^(11)-11), the coefficient...
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- Let the sum of all divisior of the form 2^(p)*3^(q) (with p, q positi...
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- Find the sum of possible real values of x for which the sixth term of ...
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- Let 1+sum(r=1)^(10)(3^r.^(10)Cr+r.^(10)Cr)=2^(10)(alpha. 4^5+beta) whe...
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- If S(n) = ""^(n)C(0) ""^(n)C(1) + ""^(n)C(1) ""^(n)C(2) + ...+ ""^(n)...
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