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MBD PUBLICATION-Elements of Mathematics-QUESTION BANK
- Find the number of terms in the expansion of (1+x)^n(1-x)^n.
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- Find the value of "^nC(r-1)//"^nCr
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- How many terms in the expansion of (3/a+a/3)^10 have positive powers o...
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- Find the middle term in the expansion of the (a/b+b/a)^6.
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- Find the middle term in the expansion of the (x+1/x)^9
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- Find the middle term in the expansion of the (x^(3/2)-y^(3/2))^8
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- Find the 6th term in the expansion of (x^2+a^4/y^2)^10.
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- Find the fifth term in the expansion of (6x-a^3/x)^10
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- Find the coefficient of 1/y^10 in the expansion of (y^3+a^7/y^5)^10
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- In the expansion of (y^3+a^7/y^5)^10, Does there exist a term indepen...
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- Find the coefficient of x^4 in the expansion of (1+3x+10x^2)(x+1/x)^10
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- Find the term independent of x in the above expansion. (1+3x+10x^2)(x+...
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- Show that the coefficient of a^m and a^n in expansion of (1+a)^(m+n) a...
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- An expression of the form (a+b+c+d+ .... ) consisting of sum of many d...
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- State and prove a multinomial Theorem.
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- Prove that "^(2n)C0 + ^(2n)C2 + .... + ^(2n)C(2n) = 2^(2n-1)
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- Prove that "^(2n)C1 + ^(2n)C3 + .... + ^(2n)C(2n-1) = 2^(2n-1)
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- Find the sum of C1 + 2C2 + 3C3 + .... + nCn
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- Find the sum of C0 + 2C1 + 3C2 + .... + (n+1)Cn
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- Compute ((1+k)(1+k/2) ..... (1+k/n))/((1+n)(1+n/2) ..... (1+n/k))
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