If there are 4 routes from Delhi to Jaipur and 3 routes from Jaipur to Mumbai, how many different routes are there from

Question

If there are 4 routes from Delhi to Jaipur and 3 routes from Jaipur to Mumbai, how many different routes are there from Delhi to Jaipur to Mumbai?

Accepted Answer

According to the Fundamental Principle of Counting (Multiplication Principle), if an operation can be performed in $m$ ways and another operation can be performed in $n$ ways, then the two operations can be performed in $m 	imes n$ ways. Here, $4 	imes 3 = 12$ routes. Therefore, option A is correct.

Permutations and Combinations

❓ Sibling Questions in this Chapter