Question

there are 7 different roads between town a and town b, four different roads between town b and town c, and two different roads between town a and town c.

Answer 1

If there are 7 different roads between town A and town B, four different roads between town B and town C, and two different roads between town A and town C, then the total number of different routes from A to C are 30.

As per the question statement, there are 7 different roads between town A and town B, four different roads between town B and town C, and two different roads between town A and town C.

We are required to calculate the total number of different routes from A to C are 30.

To solve this question, we will have to calculate the number of direct routes from A to C, and the number of indirect routes from A to C, and the summation of these two values will be the required answer.

Given, there are two different roads between town A and town C, i.e., number of direct routes from A to C = 2

And, there are 7 different roads between town A and town B, four different roads between town B and town C, i.e., number of indirect routes from A to C = (7 * 4) = 28.

Therefore, the total number of different routes from A to C are (2 + 28) = 30.

• Total: In Mathematics, to total is a summation of all the elements in a particular group or set.

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