Question

There are four routes between A and B; and three bus routes between B and C. A man can travel
round-trip in number of ways by bus from A to C via B. If he does not want to use a bus more

than once, in how many ways can he make a round trip?

A. 72

B. 144

C. 14

D. 19​

Answer 1

Answer:

A is the correct answer.  In the following figure:there are 4 bus routes from A to B and 3 routes from B to C. Therefore there are 4 × 3 = 12 ways to go from A to C. It is round trip so the man will travel back from C to A via B. It is restricted that man can not use same bus routes from C to B and B to A more than once. Thus there are 2 × 3 = 6 routes for return journey. Therefore the required number of ways = 12 × 6 = 72.

Step-by-step explanation:

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