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How many car license plates can be made if each 3 different digits followed by 2 different letters?

Sagot :

[tex] \large\underline \mathcal{{QUESTION:}}[/tex]

How many car license plates can be made if each 3 different digits followed by 2 different letters?

[tex]\\[/tex]

[tex] \large\underline \mathcal{{SOLUTION:}}[/tex]

The digits from 0-9 are 10 in total , and the number of letters in the alphabet is 26.

[tex]\\[/tex]

[tex]\sf{P=\_\times\_\times\_\times\_\times\_}[/tex]

[tex]\sf{P=10\times10\times10\times26\times26}[/tex]

[tex]\sf{P=676,000}[/tex]

[tex]\\[/tex]

[tex] \large\underline \mathcal{{ANSWER:}}[/tex]

  • There are 676,000 car license

[tex]\\[/tex]