Stars and Bars: The Number of Integers Solutions to x+y+z=8 With Conditions

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This video shows how to use the method of stars and bars to determine the number integer solutions to x+y+z=8 with various conditions on the variables.
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The Goat. Helped all the time time when I took took calc and now discrete statistics

CharlesAn-nt
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Your videos are great to watch. Your explanations are clear. Thanks.

SuperMtheory
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How do you get the number from stars + bars choose bars?

liukeyu-rkzk
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How would you adapt this method for more than one condition? For example: x must be at least 2, y must be even, and z must be no more than 3?

SuperMtheory