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Technique

Counting matrices

orders of N entries=d(N),fillings=cmn\text{orders of } N \text{ entries} = d(N), \qquad \text{fillings} = c^{\,mn}
d(N)d(N)
the number of divisors of N
cc
choices available per entry

The possible orders of a matrix with a fixed number of entries correspond to the divisors of that number, and each position is then filled independently.

12
questions use it
9
of them past-year
2017–2025
years it has appeared
17%
rated HARD
3
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