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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
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Solution
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.
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