Question

A license plate is made of three letters and three numbers. How many different license plates are possible? (Recall there are 26 letters in the alphabet and 10 single digit numbers 0-9).

Answer 1

Answer:

The correct answer is over 17,576,000 combinations!

Step-by-step explanation:

Assuming repeats are possible. There are several ways to write a license plate, like ZKL-304, or KBY-5309. However, some liscence plates may have everything as letters, such as TRUCK or AJTRUCK. With this in mind, there may be over 17,576,000 combinations possible.

Hope this helps. Have a good day!

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Answer 2

Answer:  17,576,000

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Explanation:

Assuming repeats are possible, we have 26 letters for the first slot, 26 for the second, and 26 for the third. This gives 26^3 = 26*26*26 = 17,576 different plates so far.

Then we have 10 digits to choose from for the fourth slot, 10 for the fifth, and 10 for the six slot. This gives 10*10*10 = 1000 different combos for the numeric digits.

Overall we have 17,576*1000 = 17,576,000 different license plates possible.

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In short, we're computing 26^3*10^3 = 17,576,000