Question

One can travel from a place A to a place B by 3 different buses, from place B to place C by 4 different buses, from place C to place D by 5 different buses and from place D to place E by 3 different buses. In how many ways can you travel from A to E?

• A. 160
• B. 170
• C. 180
• D. 190

Answer 1

The correct option is C 180

The bus from A to B can be selected in 3 ways.
The bus from B to C can be selected in 4 ways.
The bus from C to D can be selected in 5 ways.
The bus from D to E can be selected in 3 ways.
So, by the Fundamental Principal of Counting, one can travel from A to E in $3\times 4\times 5\times 3$ ways = 180 ways.