How many license plates can be formed if 3 non-repeating uppercase letters are followed by 3 non-repeating digits?

11,232,000 license plates

Step-by-step explanation:

First we need to find the number of possibilities for the letters:

First letter: 26 possible values

Second letter: 25 possible values (one used)

Third letter: 24 possible values (two used)

Doing the same thing for the digits, we have:

First digit: 10 possible values

Second digit: 9 possible values (one used)

Third digit: 8 possible values (two used)

So the number of license plates is the product of all these possibilities:

26 * 25 * 24 * 10 * 9 * 8 = 11,232,000 license plates