Question

A tourist in France wants to visit 12 different cities. How many different routes are possible?

Answer 1

The different routes are 479,001,600

How to determine the number of routes?

The number of cities is given as:

n = 12

The cities are different.

So, the number of routes is:

Routes = 12!

Expand

Routes =12 * 11 * 10 * 9 * ..... * 1

Evaluate

Routes =479,001,600

Hence, the different routes are 479,001,600

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