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A DAS GUPTA-Binomial Theorem for Positive Integrel Index-Exercise
- If the fifth term of the expansion (a^(2//3)+a^(-1))^n does not contai...
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- The sum of the rational terms in the expansion of (sqrt(2)+ root(5...
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- Write the middle term in the expansion of (x+1/x)^(10)dot
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- If the coefficients of 2nd, 3rd and 4th terms in the expansion of(1+x)...
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- If x^r occurs in the expansion of (x+1/x)^n then its coefficient is .
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- If the sum of the coefficients in the expansion of (a+b)^n is 4096, th...
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- The number of terms in the expansion of (1+x^(1/5))^55 which are free ...
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- If n is even then the coefficient of x in the expansion of (1+x)^n*(1-...
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- The sum of ""^21C0+""^21C1+""^21C2+...+""^21C10 is equal to .
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- The coefficient of x^(n) y^(n) in the expansion of [(1 + x)(1+y) (x...
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- The number of terms in the expansion of (1+2x+x^2)^n is :
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- The number of terms in the expansion of (1+7sqrt(2x))^9+(1-7sqrt(2x))^...
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- In the expansion of (x^(3) - (1)/(x^(2)))^(15) , the constant term,i...
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- The largest coefficient in the expansion of (1+x)^24 is
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- 3^(51) when divided by 8 leaves the remainder 2 2. 6 3. 3 4. 5 5. 1
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- The sum of the series ""^20C0+""^20C1+""^20C2+...+""^20C9 is =
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- The sum of the last eight coefficients in the expansion of (1 + x)^16 ...
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- If C(r) stands for ""^(n)C(r), then the sum of the series (2((n)/(2))!...
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- If pa n dq are ositive, then prove that the coefficients of x^pa n dx^...
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- The number of dissimilar terms in the expansion of (a+2b+3c)^8 is
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