Question

There are four bus routes between A and B. three bus routes between B and C. A man can travel round trip in the number of ways by bus from A to C via B. If he does not want to use a bus route more than once in how many ways can he make round trip?
(A) 72
(B) 144
(C) 14
(D) 19

Answer 1

Hey mate.. ♥

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 cannot 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.

Hope it helps.. ♥

Answer 2

Here is Your Answer

Quetion :- There are four bus routes between A and B. three bus routes between B and C. A man can travel round trip in the number of ways by bus from A to C via B. If he does not want to use a bus route more than once in how many ways can he make round trip?

Answer :- 72

Hope it Heplfull Answer