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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
- If (1+x)^n= underset(r=0)oversetn Crx6r then prove that C0+2.C1+3.C2+…...
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- (1+x)^n=^nC0+^nC1x+^nC2x^2+……….+^nCnx^n then find the value of ^nC1+(2...
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- (1+x)^n=^nC0+^nC1x+^nC2x^2+……….+^nCnx^n then find the value of ^nC0 + ...
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- If (1+x)^n = ^nC0+ ^nC1x+…….+^nCnx^n then find the value of ^nC0//1+^n...
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- If (1+x)^n = ^nC0+ ^nC1x+…….+^nCnx^n then find ^nC0//2+^nC1//3+^nC2//4...
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- If (1+x)^n = ^nC0+ ^nC1x+…….+^nCnx^n then find ^nC0 ^nCr +^nC1 ^nC(r-1...
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- If (1+x)^n = ^nC0+ ^nC1x+…….+^nCnx^n then find ^nC0 ^2+ ^nC1 ^2 +^nC2^...
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- If (1+x)^n = ^nC0+ ^nC1x+…….+^nCnx^n then find the value of ^nC1 ^2+2^...
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- Let R=(5 sqrt 5+11)^(2n+1) and f=R-[R] where [] is the greatest intege...
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- Last three digit of 27^(27)
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- Find remainder when 7^(103) is divided by 25.
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- If n in I^+ show 2^(3n+3) -7n -8 is divisible by 49.
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- Find the coefficient of x^7 in (1+3x-2x^3)^10
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- Find the coefficient of a^3b^4c^5 in (ab+bc+ca)^6
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- Expand (x^2+(3/x))^4 , xne0
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- Compute (98)^5
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- Using binomial theorem prove that 6^n-5n always leaves remainder I whe...
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- Find a, if 17th and 18th terms in the expansions of (2+a)^50 are equal...
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- Find the coefficient of x^6y^3 in the expansion of (x+2y)^9
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- Use the principle of mathematical induction to show that 5^(2+1)+3^(n+...
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