JEE Main Mathematics question

MathematicsPermutations and CombinationsJEE Main

Statement 1: The number of different car licence plates that can be constructed if the licences contain three letters of the English alphabet followed by a three digit number is (if repetitions are allowed). Statement 2: The number of permutations of different things taken at a time when each things may be repeated any number of times is .

Answer: (B)

Solution

The three letters, with repetition allowed, can be chosen in ways, and a three-digit number ( to ) can be chosen in ways, so Statement 1 is true. Statement 2 is the standard result that places can be filled from things with repetition in ways, so it is true. It

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Question ID VK-020611