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Sharky wants to unlock his friend Krishna's combination lock. The lock consists of $$4$$ reels, each reel displays the numbers from 01 to 99. Krishna tells Sharky that the first number from left to right is a multiple of 3, the second is a prime, the third is a multiple of 2 and the last number is divisible by 4. For example,

$$|57|97|88|08|$$

By following Krishna's clue, let $$n$$ be the digit sum of the maximum number of possible choices for unlocking Krishna's lock. Find $$n$$.

Source from PMWC.

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