From Goa to Bombay there are two roots; air, and sea. From Bombay to Delhi there are there routes air, rail and road. From Goa to Delhi via Bombay, how many kinds of routes are there?

Explanation

Given ,

The number of roots from Goa to Bombay is air and sea.

Therefore, the number of ways to go from Goa to Bombay is `2_(C_1)`

Given,the number of roots from Bombay to Delhi are: air, rail, and road.

Therefore, the number of ways to go from Bombay to Delhi is `3_(C_1)`

Thus, the number of ways to go from Goa to Delhi via Bombay is

`2_(C_1) xx 3_(C_1) = 2 xx 3 = 6 `ways.