Nate, within he numbers 5-35?
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same likelihood of occuring as all 8 balls landing in Compartment 2 (scoring 16), but the second apparently doesn't win you any prizes.
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This was due to my example, will be more clearly labeled shortly.
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In my case, I need to know the sample space for if there were 5 balls and 7 compartments, numbered 1 to 7.
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Balls, 5. Compartements, 7.