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Objects into containers

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Squishmallow
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Last updated: April 29, 2025
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First submittedApril 29, 2025
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Containers (n)
Objects (m)
Empties?
Answer
Distinguishable
Distinguishable
Yes
n^m
Distinguishable
Distinguishable
No
n!*S(m,n)
Distinguishable
Identical
Yes
nCr(m1, m)
Distinguishable
Identical
No
nCr((m-n)1, (m-n))
Identical
Distinguishable
Yes
sum(S(m, k)) 1<=k<=n
Identical
Distinguishable
No
S(m,n)
Identical
Identical
Yes
Partitions of m with <= n parts
Identical
Identical
No
Partitions of m with n parts
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