# A license plate composed of 3 letters followed by 4 digits. How many different license plates are possible?

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Mar 2, 2018

${26}^{3} \times {10}^{4} = 175 , 760 , 000$ plates

#### Explanation:

There are 3 spots where there are 26 choices each $\left(= {26}^{3}\right)$ and 4 spots where there are 10 choices each (the digits 0 through 9, $= {10}^{4}$). This gives:

${26}^{3} \times {10}^{4} = 175 , 760 , 000$ plates

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