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20 September, 05:50

How many four-digit numbers are there formed from the digits 1, 2, 3, 4, 5 (with possible repetition) that are evenly divisible by 4?

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  1. 20 September, 06:47
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    80 four-digit numbers are there which is divisible by 4.

    Step-by-step explanation:

    Consider the provided information.

    A number is divisible by 4 if the last 2 digits are divisible by 4.

    So the possible last 2 digits are:

    xx12, xx24, xx32, xx44, xx52

    In each case, for first two number we have 4 choices and last 2 choices are fixed.

    Therefore, the total number of ways are: 5 (4*4)

    Where 5 represents possible case in which last 2 digits are divisible by 4.

    the total number of ways are: 5 (4*4) = 80

    Hence, 80 four-digit numbers are there which is divisible by 4.
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