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Find the sum 1C0+2C1+3C2++(n+1)Cn ,w h e...

Find the sum `1C_0+2C_1+3C_2++(n+1)C_n ,w h e r eC_r=^n C_rdot`

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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
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  2. Find the value of 5C3 + 4C2

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  3. Find the sum 1C0+2C1+3C2++(n+1)Cn ,w h e r eCr=^n Crdot

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  4. If (1+x+x^2++x^p)^n=a0+a1x+a2x^2++a(n p)x^(n p), then find the value o...

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  5. If n >2, then prove that C1(a-1)-C2xx(a-2)++(-1)^(n-1)Cn(a-n)=a ,w h e...

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  6. Find the sum C0-C2+C4-C6+ ......... ,where Cr=^n Cr .

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  7. If x+y=1, prove that sum(r=0)^n .^nCr x^r y^(n-r) = 1.

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  11. If sum(r=0)^(2n)ar(x-2)^r=sum(r=0)^(2n)br(x-3)^ra n dak=1 for all kgeq...

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  14. Statement1: if n in Na n dn is not a multiple of 3 and (1+x+x^2)^n=s...

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