How many ways are there to put 5 b***s in 2 boxes if the b***s are distinguishable and the boxes are distinguishable?
OK....I'll take a leap at this one....again!!!
Possible
Splits
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5 - 0 put the 5 b***s in 1 box or the other = 2 ways
4 - 1 select 4 of 5 b***s and 1 of 2 boxes = C(5,4) x 2 = 10 ways
3 - 2 select 3 of 5 b***s and 1 of two boxes = C(5,3) x 2 = 20 ways
2 + 10 + 20 = 32 ways