In how many ways can 3 letters be put into 5 letter boxes when each box can take any number
of letters?
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0
Answer:
Either the two remaining letters go in one of the three boxes ((31)= 3 ways), or one letter goes into each of two out of the three boxes ( (32)=3 ways). So this case produces 4⋅(3+3)= 24 arrangements. Two open boxes can occur in (42)= 6 ways.
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2
Answer:
There will be infinite ways.
Because two boxes will be empty .
Therefore , there are many ways to fit these boxes.
Step-by-step explanation:
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