Question

To travel from a place A to place B, there are two different bus routes B₁, B₂, two different train routes T₁, T₂ and one air route A₁. From place B to place C there is one bus route say B₁, two different train routes say T₁, T₂ and one air route A₁. Find the number of routes of commuting from place A to place C via place B without using similar mode of transportation

Answer 1

Route map diagram for the given data.

The possible choices for a number of routes commuting from A to place C via place B without using similar mode transportation are

(B₁, T’₁), (B₁, T’₂), (B₁, A₁), (B₂, T’₁), (B₂, T’₂)

(B₂, A’₁), (T₁, B’₁), (T₁, A’₁), (T₂, B’₁), (T₂, A’₁) (A₁, B’₁), (A₁, T’₁) and (A₁, T’₂)

Therefore, the Required number of routes is 13.