SOLUTION: b) How many ways are there to distribute 20 district object into 10 distinct boxes with
i) At least two empty box.
ii) No empty box.
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Question 350844: b) How many ways are there to distribute 20 district object into 10 distinct boxes with
i) At least two empty box.
ii) No empty box.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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
---
# of ways to arrange 20 in the 8 remaining distinct boxes:
20P8 = 5079110900
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Ans: 90*5079110900 = 4.5712x10^11
============================================
ii) No empty box.
20P10 = 20!/10! = 6.7044x10^11 ways
============================================
Cheers,
Stan H.
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