From the Spot It! website:

 

"Spot it! is made up of 57 symbols, 55 cards, with 8 [unique] symbols per card. 

There is only one matching symbol between any two cards in the deck."

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Using this information, produce a formula or algorithm that relates the number of symbols, cards, and symbols per card

for ANY Spot-It!-like game.

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Ex: Given you want to have x symbols, how many cards and symbols per card

can you have?