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The letters R, W, S, T, M, and P are to be arranged from left to right in a sequence such that each of the 6 letters occurs exactly once. For example, PMRSTW is one such sequence. Of all possible sequences of this type, how many have S as the left-most letter and T as the right-most letter?
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How many different 3-digit numbers can be formed using the digits 1, 2, 3, 4, and 5 if all the digits in each number must be different?
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The cast of a certain play has 2 male characters and 2 female characters. The director of the play will select the 2 male characters from 6 male actors and the 2 female characters from 8 female actors. How many different sets of 4 actors, consisting of 2 male actors and 2 female actors, are there that can be selected by the director?
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How many six-digit positive integers are greater than 535,000 and consist of the digits 1, 2, 3, 5, 7, 9, where each digit occurs only once?
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