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Explanation:

Here, factorials of number 5 and above are always divisible by 15, hence we can ignore them.

So the question simplifies to finding remainder of 1! + 2! + 3! + 4! when divided by 15.

= Remainder of (1 + 2 + 6 + 24) / 15

= Remainder of (33) / 15

= 3

Hence, 3.

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