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For any positive integer (m,n) (with nge...

For any positive integer (m,n) (with `ngeqm`), Let `((n),(m)) =.^nC_m` Prove that `((n),(m)) + 2((n-1),(m))+3((n-2),(m))+....+(n-m+1)((m),(m))`=(n+2,m+2)

A

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

B

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

C

`""^(n+2)C_(m+2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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VMC MODULES ENGLISH-BINOMIAL THEOREM-LEVEL 2
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