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  4. The number of 5 digit numbers which are divisible by 4, with digits from the set 1, 2, 3, 4, 5 and the repetition of digits is allowed, is

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Q. The number of $5$ digit numbers which are divisible by $4$, with digits from the set {$1, 2, 3, 4, 5$} and the repetition of digits is allowed, is _____

JEE AdvancedJEE Advanced 2018Permutations and Combinations

Solution:

Option for last two digits are $(12),(24),(32),(44)$ are $(52)$.
Total No. of digits $=5 \times 5 \times 5 \times 5=625$