P&C: 4 methods to find number of ways of distributing 5 distinct balls in 4 distinct boxes

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P&C B&B 4: No of ways of distributing n distinct balls in r distinct boxes (Onto functions methods) P&C B&B 4: No of ways of distributing n distinct balls in r distinct boxes (Onto functions methods)
5 distinct balls in 3 identical boxes 5 distinct balls in 3 identical boxes
Lecture1 Distribution of n identical/distinct Balls into r identical/distinct Boxes, No box is empty Lecture1 Distribution of n identical/distinct Balls into r identical/distinct Boxes, No box is empty
In how many ways can we distribute 6 distinct balls into 3 identical boxes? In how many ways can we distribute 6 distinct balls into 3 identical boxes?
P&C B&B 2: No of ways of distributing n identical balls in r distinct boxes (Linear equation method) P&C B&B 2: No of ways of distributing n identical balls in r distinct boxes (Linear equation method)
P&C B&B 3: No of ways of distributing n distinct balls in r identical boxes (Sterling number method) P&C B&B 3: No of ways of distributing n distinct balls in r identical boxes (Sterling number method)
In how many ways can 20 identical balls be distributed into 4 distinct boxes subject? In how many ways can 20 identical balls be distributed into 4 distinct boxes subject?
Counting the number of ways to place identical balls in distinct bins Counting the number of ways to place identical balls in distinct bins