A newly designed international airport is planning to label its gates. Each gate must be assigned a letter from the alphabet from A to M (13 in all), and a number from 1 to 15. To avoid confusion, any two gates must be assigned a different letter, or a different number (or both). What is the maximum number of distinct gates that the airport can have?
looks to me like just 13*15 possible gate id's.
To solve this problem, we need to find the maximum number of distinct gate combinations that can be formed.
First, let's consider the number of letter options. There are 13 letters from A to M.
Next, let's consider the number of number options. There are 15 numbers from 1 to 15.
To find the maximum number of distinct gates, we can multiply the number of letter options by the number of number options.
So, the maximum number of distinct gates = number of letter options × number of number options = 13 × 15 = 195.
Therefore, the airport can have a maximum of 195 distinct gates.