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Use the identity (1+x)^(m)(1+x)^(n)=(1+x...

Use the identity `(1+x)^(m)(1+x)^(n)=(1+x)^(m+n)` to prove Vandermonde's theorem,
`""^(m)C_(r ) +""^(m)C_(r-1). ""^(n)C_( 1)+""^(m)C_(r -2) *""^(n)C_(2) +….+""^(n)C_(r )=""^((m+n))C_(r )`

A

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

B

`""^(mn) C_r`

C

`""^((m+n)) C_(r+1)`

D

`((m+n)) C_(r-1)`

Text Solution

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A
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