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Advent calendar 2019
15 December
All 2019 advent puzzles
~
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There are 5 ways to make 30 by multiplying positive integers (including the trivial way):
30
2×15
3×10
5×6
2×3×5
Today's number is the number of ways of making 30030 by multiplying.
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30030 is 2×3×5×7×11×13, so the answer is
the number of ways of sharing six elements into unlabelled boxes (A000110).
The answer is
203
.
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ave
sums
averages
floors
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clocks
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integers
determinants
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consecutive numbers
combinatorics
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christmas
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