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If (1+x)^(15)=C0+C1x+C2x^2++C(15)x^(15),...

If `(1+x)^(15)=C_0+C_1x+C_2x^2++C_(15)x^(15),` then find the value of `C_2+2C_3+3C_4++14 C_(15)dot`

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CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
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  3. If (1+x)^(15)=C0+C1x+C2x^2++C(15)x^(15), then find the value of C2+2C...

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  6. Find the sum sumsum(i!=j)^n ^nCi^n Cj

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

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

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