Question

there are 9 routes to travel from A to B & 5 routes to travel from B to C. Find the total bumber of routes one can travel from A to C, via B.

Answer 1

This question can be easily answered using the concept of Combinations.

Here, we are given that,

there are 9 routes to travel from A to B & 5 routes to travel from B to C.

Using this information, we have to

Find the total bumber of routes one can travel from A to C, via B.

Notice that, We can take any 1 of 9 routes to travel from A to B .

This can be done in

( 9 C 1 ) = 9 ways.

Similarly, we can take any 1 of 5 routes to travel from B to C.

This can be done in

( 5 C 1 ) = 5 ways.

Hence, the total number of routes to travel from A to C via B are

= 9 * 5

= 45

Hence, there are total 45 routes to travel from A to C via B.

This answers your question.

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