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Permutation

The number of...

Question

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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Solution

The last two digits will be $(12), (24), (32), (44), (52)$
Required 5 digit number $= 5 \times 5 \times 5 \times 5 = 625$

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