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Subjects
Class 11MathematicsPermutations and CombinationsFundamental principle of countingMedium
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A license plate has 3 distinct letters followed by 2 distinct digits. There are 6 letters and 5 digits available. How many different plates can be formed?

Answer and explanation

Correct answer: 2400 plates

The 3 distinct letters can be arranged in 6 × 5 × 4 ways, and the 2 distinct digits in 5 × 4 ways. Multiplying gives 6 × 5 × 4 × 5 × 4 = 2400 plates.

Related tags

Permutations And CombinationsFundamental Counting PrincipleFundamental Principle Of CountingMathematicsClass 11 Mcq
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