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 :

$=10\times10\times10$

Followed by 2 latter

For 1 latter total posibilty is 26

so for 2 letters.

$=26\times26$

So total different reservation number is:

$\begin{gathered} =10\times10\times10\times26\times26 \\ =676000 \end{gathered}$

So total 676000 different reservation number are possible.