Question

A hotel reservation number consists of 3 digits, followed by 2 letters, followed by 2 digits. How many different reservation numbers are possible?

Answer 1

Given:

Consists of 3 digits and followed by 2 letters

So:

For 1 digit total posibilty is 10 so for 3 digit :

`=10*10*10`

Followed by 2 latter

For 1 latter total posibilty is 26

so for 2 letters.

`=26*26`

So total different reservation number is:

`\begin{gathered} =10*10*10*26*26 \\ =676000 \end{gathered}`

So total 676000 different reservation number are possible.