# 6-digit Arrangements

The digits $$1,2,3,4,5,6$$ are arranged to form a 6-digit number. The probability that the number formed is divisible by 4 can be expressed as $$\frac{a}{b}$$ where $$a$$ and $$b$$ are coprime positive integers. What is the value of $$a + b$$?

Details and assumptions

Each digit is only used once in forming the 6-digit number.

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