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Suppose you can travel from a place A to a place B by 3 buses, from place Bto place C by 4 buses, from place C to place D by 2 buses and from place D to place E by 3buses. In how many ways can you travel ?from A to E?

Suppose you can travel from a place A to a place B by 3 buses, from place Bto place C by 4 buses, from place C to place D by 2 buses and from place D to place E by 3buses. In how many ways can you travel ?from A to E? Correct Answer 72

 

The bus fromA to B can be selected in 3 ways.

The bus from B to C can be selected in 4 ways.

The bus from C toD can be selected in 2 ways.

The bus fromD to E can be selected in 3 ways.

So, by the General Counting Principle, one can travel fromA to E in 3 x 4 x 2 x 3 ways = 72

 

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