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16 November, 13:50

How many integers n between 100 and 299 are there such that the hundreds digit of n is less than the tens digit of n and the tens digit of n is less than the units digit of n?

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  1. 16 November, 14:20
    0
    49

    Step-by-step explanation:

    The "abc" be the number between 100 and 299

    So, we can say:

    0
    c can take values from 3 - 9 inclusive, so that's 7 values

    b can take values from 2 - 8, inclusive, so that's 7 values

    a can take only 1 value

    So the number of possibilities is:

    7 * 7 * 1 = 49

    Hence, there are 49 integers between 100 and 299 such that the hundreds digit of n is less than the tens digit of n and the tens digit of n is less than the units digit of n
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