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20 March, 09:30

How many 4-digit numbers which are greater than 5000can be formed using the digits 7,0,5and 4?

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  1. 20 March, 11:54
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    Since the numbers have to be greater than 5000, we have to choose either 5 or 7 as first digit.

    If we choose 5, we can arrange the remaining 3 digits in 3!=6 ways:

    5047, 5074, 5704, 5740, 5407, 5470

    All these numbers are something like "five thousand and something", so they are greater than 5000.

    Similarly, if we choose 7, we can arrange the remaining 3 digits in 3!=6 ways:

    7045, 7054, 7504, 7540, 7405, 7450

    All these numbers are something like "seven thousand and something", so they are greater than 5000.
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