A star baseball player has several possible outcomes from his "at bat" in a game. Let's say, for argument, he has a safe hit with probability 0.320, a strikeout with probability 0.100, a walk with probability 0.100, a flyout with probability 0.300, and a ground out with probability 0.180. If each bat is considered independent, what is the probability that over the next 10 at bats he registers 2 safe hits, 3 strikeouts, 2 walks, 1 flyout, and 2 groundouts?