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:

• A. 168
• B. 336
• C. 208
• D. 308

Answer 1

The correct option is B

336

Number of ways "X” can go from A to C= ${}^8$C${}_3$ and from C to B= ${}^4$C${}_2$. Then the total number of shortest paths that he can choose is ${}^8$C${}_3$ $\times$ ${}^4$C${}_2$ = 336