The n members of a committee are numbered 1 through n. One of the members is designated as the “Grand Pooh-Bah.” The n members sit in a row of n chairs, but no member with a number greater than the Grand Pooh-Bah may sit in the seat to the immediate right of the Grand Pooh-Bah. Suppose that the Grand Pooh-Bah is member number p, where . Find a formula, in terms of n and p, for the number of ways for the committee to sit.
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