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  4. Number of four-digit numbers that can be formed from the digits 1, 2, 3, 4, 5 (with possible repetition) that are divisible by 4, is

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Q. Number of four-digit numbers that can be formed from the digits 1, 2, 3, 4, 5 (with possible repetition) that are divisible by 4, is

Permutations and Combinations

Solution:

$\text { Digits } 1,2,3,4,5$
4 digit $\times \times \times \times$
Last two places can be $12,24,32,44,52$
$\therefore$ Required number $=(5) \cdot(5)^2=125$