A market sells 40 kinds of candy bars. You want to buy 15 candy bars. (a) How many possibilities are there? (b) How many possibilities are there if you want at least three peanut butter bars and at least five almond bars? (c) How many possibilities are there if you want exactly three peanut butter bars and exactly five almond bars? (d) How many possibilities are there if you want at most four toffee bars and at most six mint bars?
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