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Let m,in N and C(r) = ""^(n)C(r), for 0...

Let m,`in` N and `C_(r) = ""^(n)C_(r)`, for ` 0 le r len`
Statement-1: `(1)/(m!)C_(0) + (n)/((m +1)!) C_(1) + (n(n-1))/((m +2)!) C_(2) +… + (n(n-1)(n-2)….2.1)/((m+n)!) C_(n)`
` = ((m + n + 1 )(m+n +2)…(m +2n))/((m +n)!)`
Statement-2: For r `le`0
`""^(m)C_(r)""^(n)C_(0)+""^(m)C_(r-1)""^(n)C_(1) + ""^(m)C_(r-2) ""^(n)C_(2) +...+ ""^(m)C_(0)""^(n)C_(r) = ""^(m+n)C_(r)`.

A

`((m+n+1) (m+n+2) …(m+2n) )/((m+n)!)`

B

`""^(m+n) C_(n) `

C

`(1)/((m+n)!) (""^(m+n) C_(n) )`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
A
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