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Evaluate sum(i=0)^(n)sum(j=0)^(n) ""^(n)...

Evaluate `sum_(i=0)^(n)sum_(j=0)^(n) ""^(n)C_(j) *""^(j)C_(i), ile j ` .

A

4

B

3

C

2

D

None

Text Solution

Verified by Experts

B
`sum_(j=1)^(n)sum_(i=0)^(j)""^(n)C_(j).""^(j)C_(i)=sum_(j=1)^(n)""^(n)C_(j).2^(j)=(1+2)^(n)-1=3^(n)-1`
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