Question 350844
b) How many ways are there to distribute 20 district object into 10 distinct boxes with 
i) At least two empty box.
# of ways to select 2 distinct boxes: 10*9 = 90
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# of ways to arrange 20 in the 8 remaining distinct boxes:
20P8 = 5079110900
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Ans: 90*5079110900 = 4.5712x10^11
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ii) No empty box.
20P10 = 20!/10! = 6.7044x10^11 ways
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Cheers,
Stan H.