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C(n,0)+C(n,1)+C(n,2)+...+C(n,n)=...

`C(n,0)+C(n,1)+C(n,2)+...+C(n,n)=`

A

`2+2^(2) +2^(3) P+…… +2^(n)`

B

`1+2+2^(2)+2^(3) +….+2^(n)`

C

`1+2+2^(2)+2^(3) +2^(3) +…..+ 2^(n-1)`

D

`2+2^(2) +2^(3) +…..+2^(n-1)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If ""(n)C_(0), ""(n)C_(1), ""(n)C_(2), ...., ""(n)C_(n), denote the binomial coefficients in the expansion of (1 + x)^(n) and p + q =1 sum_(r=0)^(n) r^(2 " "^n)C_(r) p^(r) q^(n-r) = .

    A
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    B
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    C
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    D
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    A
    `n.2^(n)`
    B
    `(n-1)2^(n)`
    C
    `(n+1)2^(n+1)`
    D
    `( n+1)2^(n)`

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    A
    `(2^(n))/(n)`
    B
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    C
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    D
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