6
QuizMultiple Choice

Permutations and Combinations

Question 6 • HCISD-Mathematical Models with Applications B-CR SUMMER

License plates are made using 2 letters followed by 3 digits. How many plates can be made if repetition of letters and digits is allowed?

Answer
A
100,000
B
676,000
C
67,600
D
11,881,376

Explanation

Each of the 2 letter positions has 26 choices, and each of the 3 digit positions has 10 choices. Since repetition is allowed, multiply the choices: 26 × 26 × 10 × 10 × 10 = 676,000. The correct choice is 676,000.

AI-written and checked against the verified answer.

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