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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,
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.