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8 August, 16:58

In a three-digit number, the hundreds digit is greater than 5, the tens digit is greater than 4 but less than 8, and the units digit is the smallest prime number. How many three-digit numbers satisfy all of these conditions?

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  1. 8 August, 20:20
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    The hundreds digit can be 6, 7, 8, 9.

    The tens digit can be 5, 6, 7.

    The units digit is 2.

    There are 4 possible digits for the hundreds digit, 3 possible digits for the tens digit, and 1 digit for the ones digit.

    The total number of numbers is

    4 * 3 * 1 = 12

    Answer: 12
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