A group contains n men and n women, where n is a positive integer.
a) How many ways are there to arrange these people in a row if there are no restrictions on where they sit?
b) How many ways are there to arrange these people in a row if the men and women alternate?
c) If people are seated randomly, what is the probability that a man will be seated in the first seat?
d) If people are seated randomly, what is the probability the men will all be seated on the left and the women will all be seated to the right?
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