The figure below shows the plan of a town. A person "X" rides his bicycle from h

Question

The figure below shows the plan of a town. A person "X" rides his bicycle from house at A to office at B, taking the shortest route.
The number of shortest paths that he can choose is:

Options:

A . 168

B . 336

C . 208

D . 308

Answer: Option B
:
B
Number of ways "X” can go from A to C=

^{8}

_{3}

and from C to B=

^{4}

_{2}

. Then the total number of shortest paths that he can choose is

^{8}

_{3}

\times

^{4}

_{2}

= 336

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