A) 70
B) 90
C) 8
D) 16
Correct Answer: A
Solution :
We have shown two possible path in the figure. If horizontal movement is written as H and vertical movement is written as V. Then, these paths can be written as \[\text{H}\,\text{H}\,\text{H}\,\text{H}\,\text{V}\,\text{V}\,\text{V}\,\text{V}\]and\[\text{HV}\,\text{HV}\,\text{HV}\,\text{HV}\] Hence, energy path is basically arrangement of 4 'H' and 4 'V. \[\therefore \]Total number of ways \[=\frac{8!}{4!4!}\] \[=\frac{8\times 7\times 6\times 5\times 4}{4\times 3\times 2\times 1\times 4}\]\[=70\]You need to login to perform this action.
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