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Each license plate in a certain state has five characters (with repeats allowed).Here are the possibilities for each character.CharacterPossibilitiesFirstThe digits , , , , or SecondThe letters of the alphabetThirdThe letters of the alphabetFourthThe digits through FifthThe digits through How many license plates are possible in this state?

Each license plate in a certain state has five characters with repeats allowedHere are the possibilities for each characterCharacterPossibilitiesFirstThe digits class=

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SOLUTION

Given the information as contained in the image;

[tex]\begin{gathered} Since\text{ repetition is allowed;} \\ The\text{ first character has 5 possible choices}\rightarrow5 \\ The\text{ second character has 26 possible choices}\rightarrow26 \\ The\text{ third character has 26 possibles choices}\rightarrow26 \\ The\text{ fourth character has 10 possible choices}\rightarrow10 \\ The\text{ fifth character has 10 posible choices}\rightarrow10 \end{gathered}[/tex]

To determine the number of possible license plates in the state;

[tex]5\times26\times26\times10\times10=338000[/tex]

The answer is 338000.

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