Question

A hotel reservation number consists of 5 digits, followed by 1 letters, followed by 3 digits. How many different reservation numbers are possible?

Answer 1

There are 10 possible digits and 26 possible letters.

To find the answer to this problem we have to multiply 9 as many digits has the hotel reservation number and 26 as many letters it has.

It means:

$9\cdot9\cdot9\cdot9\cdot9\cdot26\cdot9\cdot9\cdot9=1,119,214,746$

There are 1,119,214,746 possible reservation numbers.