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MOTION-BINOMIAL THEOREM -Exercise -4 (Level - I) ( Previous Year )
- In the binomial expansion of (a - b)^(n) , n ge 5 , the sum of the ...
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- The sum of the series .^(20)C(0)-.^(20)C(1)+ .^(20)C(2)-.^(20)C(3)+...
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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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- The remainder left out when 8^(2n)""(62)^(2n+1) is divided by 9 is (1)...
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- Let S1=sum(j=1)^(10)j(j-1)^(10)Cj ,""S2=sum(j=1)^(10)j""^(10)Ci("andS"...
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- The coefficient of x^(7) in the expansion of (1-x-x^(2) + x^(3))^(6) i...
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- If n is a positive integer, then (sqrt(3)+1)^(2n)-(sqrt(3)-1)^(2n) is ...
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- The coefficient of the term independent of x in the exampansion of ((x...
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- If X={4^(n)-3n-1:ninN}andy={9(n-1):ninN}, then X uu Y equals
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- If the coefficients of x^(3) and x^(4) in the expansion of (1 + ax + b...
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- The sum of coefficients of integral powers of x in the binomial exp...
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- The value of (.^(21)C(1) - .^(10)C(1)) + (.^(21)C(2) - .^(10)C(2)) + (...
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