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How many numbers of 3 digits can be formed with the digits 1, 2, 3, 4, 5 when digits may be repeated?

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The unit place can be filled in 5 ways and since the repetitions of digits are allowed, therefore, tenth place can be filled in 5 ways. Furthermore, the hundredth place can be filled in 5 ways also. Therefore, required number of three digit numbers is 5 × 5 × 5 = 125.

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