A) \[^{n+2}{{C}_{r}}\]
B) \[^{n+2}{{C}_{r+1}}\]
C) \[^{n+1}{{C}_{r}}\]
D) \[^{n+1}{{C}_{r+1}}\]
Correct Answer: B
Solution :
Expression = \[^{n}{{C}_{r+1}}\,+{{\,}^{n}}{{C}_{r-1}}\,+{{\,}^{n}}{{C}_{r}}+{{\,}^{n}}{{C}_{r}}\] = \[^{n}{{C}_{r+1}}\,+{{\,}^{n+1}}{{C}_{r}}\,+{{\,}^{n}}{{C}_{r}}\]= \[^{n+1}{{C}_{r+1}}\,+{{\,}^{n+1}}{{C}_{r}}\]=\[^{n+2}{{C}_{r\,+\,1}}\].You need to login to perform this action.
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