Question

A hotel reservation number consists of 5 digits, followed by 2 letters, followed by 2 digits. How many different reservation numbers are possible?

Answer 1

6,760,000,000 is the answer your welcome

Answer 2

`6,760,000,000`

Step-by-step explanation:

Note that there are 10 digits (0 - 9) and there are 26 letters of the alphabets (A - Z)

We're told that the reservation number consists of 5 digits, followed by 2 letters, followed by 2 digits, we can go ahead and determine how many different reservation numbers are possible assuming that the numbers can be repeated as seen below;

`\begin{gathered} 10*10*10*10*10*26*26*10*10 \\ =10^5*26^2*10^2 \\ =100000*676*100 \\ =6,760,000,000\text{ } \end{gathered}`