In clarity of 10+ years of hindsight, while I thought I knew nothing about anything when starting my business: 1) I knew more about bingo card layout than 99.998% of US teachers by day 7 2) I had thought more about bingo card software than probably any human in history by year 3 https://twitter.com/ShareefTashreef/status/1183969676608462848 …
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"They will think you're being condescending?" I express *extremely* high confidence that I have had this conversation with many more math teachers than you have.
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Pah! PerfectTablePlan laughs at your mere 24 factorial! ;0)
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Fun fact, in the UK we call 24 factorial 24 BANG
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More interesting question is how many effectively different cards there are—taking reflections, rotations and permutations of the rows into account.
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permuting rows changes which squares produce a bingo, so isn't a proper symmetry. For rotations and reflections the symmetry group is the dihedral group of degree 4 which has order 8, so only 1/8th of the 24! possible bingo cards are 'distinct'.
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