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A license plate consists of seven symbols on each​ plate, where the first two symbols are letters of the alphabet and the following five symbols are the digits selected from the set StartSet 0 comma 1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma 8 comma 9 EndSet​? How many license plates can be produced if any digit or letter can be repeated on any given license plate​?

Respuesta :

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Answer:

[tex]6.76*10^{7}[/tex]

Step-by-step explanation:

Things to note before answering this question

  • The plate consists of seven symbols
  • The first two positions consists of letters of the alphabet, with repetition allowed, meaning there are 26 possible values that can be found in each of the two first positions
  • The next five positions only allow numbers, and repetitions are allowed, meaning there are 10 possible values that can be found in each of the last 5 values

26 x 26 x 10 x 10 x 10 x 10 x 10 = 67600000 = 6.76 x 10^7

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