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There are two routes from Panji to Mumbai; air and sea. From Mumbai to Delhi there are three routes; air, rail, and road. How many different routes are there from Panji to Delhi, via Mumbai?

There are two routes from Panji to Mumbai; air and sea. From Mumbai to Delhi there are three routes; air, rail, and road. How many different routes are there from Panji to Delhi, via Mumbai? Correct Answer 6

Concept:

Basic Principle of Counting:

If there are m ways for happening of an event A, and corresponding to each possibility there are n ways for happening of event B, then the total number of different possibilities for happening of events A and B are:

  • Either event A OR event B alone = m + n.
  • Both event A AND event B together = m × n.

 

Calculation:

From Panji to Mumbai → 2 routes.

From Mumbai to Delhi → 3 routes.

By using the Basic Principle of Counting, we can say that the total number of routes from Panji to Delhi via Mumbai, i.e. (Panji to Mumbai) AND (Mumbai to Delhi), is 2 × 3 = 6.

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