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VMC MODULES ENGLISH-BINOMIAL THEOREM-LEVEL 1
- If ( 1 + x - 2x^(2))^(20) = sum(r=0)^(40) a(r) x^(r) , then find ...
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- ""^(n-2)C(r)+2""^(n-2)C(r-1)+""^(n-2)C(r-2) equals :
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- ""^(15)C(8) + ""^(15)C(9) - ""^(15)C(6) - ""^(15)C(7) is equal to ………....
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- If ""^(18)C(15)+2(""^(18)C(16))+""^(17)C(16)+1=""^(n)C(3), then n is e...
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- Let (1 + x)^(n) = sum(r=0)^(n) a(r) x^(r) . Then ( a+ (a(1))/(a(0))...
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- sum(r=0)^(n-1) (""^(n)C(r))/(""^(n)C(r) + ""^(n)C(r+1)) is equal to
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- Find the coefficient of x^7 in the expansion of (1 - x -x^2 + x^3)^(6)...
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- Statement - 1 sum(r=0)^(n) (r + 1) ""^(n)C(r) = (n+2)*2^(n-1) Stat...
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- if n>=2, ""^(n+1)C(2)+2(""^(2)C(2)+""^(3)C(2)+""^(4)C(2)+....+""^(n)...
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- In the coefficients of rth, (r+1)t h ,a n d(r+2)t h terms in the binom...
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- If s(n)=sum(r=0)^(n)(1)/(.^(n)C(r))and t(n)=sum(r=0)^(n)(r)/(.^(n)C(r)...
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- The sum ""^(20)C(0)+""^(20)C(1)+""^(20)C(2)+……+""^(20)C(10) is equal t...
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- Find the coefficient of x^5 in (1+2x+3x^2...........)^(-3/2)
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- The coefficient of x^2y^3 in the expansion of (1-x+y)^(20) is (20 !)/(...
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- The coefficient of x^(10) in the expansion of (1+x^2-x^3)^8 is 476 b. ...
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- The reamainder left out when 8^(2n) - (62)^(2n+1) is divided by 9 is
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- If ak is the coefficient of x^k in the expansion of (1+x+x^2)^n for k ...
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- The coefficient of x^(28) in the expansion of (1+x^3-x^6)^(30) is 1 b....
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- The coefficient of x^(n) in the polynomial (x+.^(n)C(0))(x+3.^(n)C(1))...
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- If (1+2x+x^2)^n=sum(r=0)^(2n)ar x^r ,then ar is a.(.^nC2)^2 b. .^n ...
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