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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
- The two successive terms in the expansion of (1+x)^(24) whose coeffici...
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- Given the integers rgt1,ngt2 and coefficients of (3r)th and (r+2)nd te...
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- The total number of terms in the expansion of (x+a)^(100)+(x-a)^(100) ...
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- The ratio of the coefficient of x^(15) to the term independent of x in...
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- The number of terms in the expansion of (a+b+c)^(n), where n in N is:
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- The coefficients of x^(p) and x^(q) (p and q are positive integers in ...
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- If (1 +x + x^(2))^(n) = a(0) + a(1) x + a(2) x^(2) + … + a(2n) x^(2n) ...
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- If the coefficients of x^(7) and x^(8) in (2+(x)/(3))^(n) are equal, t...
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- The total number of terms in the expansion of (x+a)^(51)-(x-a)^(51) af...
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- If x, y and r are positive integers , then : ""^xCr+""^rC(r-1)""^yC1+^...
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- C(0)-C(1)+C(2)-C(3)+ . . .+(-1)^(n)C(n) is equal to
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- If (1 +x + x^(2))^(n) = a(0) + a(1) x + a(2) x^(2) + … + a(2n) x^(2n) ...
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- If x^(r) occurs in the expansion of (x+(1)/(x))^(n), then is coefficie...
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- If (1+x)^(n)= C(0)+C(1).x+C(2). x^(2)+.. . C(n). x^(n) in the usual n...
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- nCr+2. nC(r-1)+nC(r-2)=
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- If the coefficients of r^(th) and (r+1)^(th) term in the expansion o...
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- Sum of the odd binomial coefficients of (1+x)^(50) is
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- If (1+x+x^(2))^(n) = a(0)+a(1) x+a(2) x^(2)+.. .+a(2 n) x^(2 n) then ...
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- The coefficient of the term independent of x in the expansion of (sqrt...
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- If C(0),C(1),C(2), . . . .,C(n) are binomial coefficients of order n,...
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