Suppose, there are 7 of your friends who want to eat pizza (8 distinct people in total). You order a 16-cut pizza (16 identical slices). How many distributions of pizza slices are there if each person gets at least one slice of pizza?
Suppose, there are 7 of your friends who want to eat pizza (8 distinct people in total). You order a 16-cut pizza (16 identical slices). How many distributions of pizza slices are there if each person gets at least one slice of pizza? Correct Answer 6435
This problem can be viewed as identical objects distributed into distinct non-empty bins. Using the formula for these kind of distributions n-1Cr-1 = 15C7 = 6435. Thus, there are distributions of the pizza slices.
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Feb 20, 2025