Question

A hotel reservation number consists of 4 digits, followed by 2 letters, followed by 2 digits. How many different reservation numbers are possible?

Answer 1

676000000

Step-by-step explanation

From the question, repetition of digits or letters is allowed.

Each digits has 10 possible choices and each letter has 26 possible choices.

for the 1st 4 digits, we have 10*10*10*10 = 10000

for the 2 letters, 26*26 = 676

for the last 2 digits, 10*10 = 100

multiplying everything together:

10000*676*100 = 676000000

Hence, there are 676000000 different possible reservation numbers.