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I'm currently working on a character creator for a game, but I don't know how to calculate all possible character combinations the player can create. In the creator, the player is required to choose exactly one from each option to create 1 character: - 6 hats - 10 noses - 6 glases - 3 sticks - 31 hairstyles - 8 hair colors - 3 swords - 15 pants - 21 shirts

Just to rephrase it: To create 1 character, every player is required to choose a combination of: 1x hat, 1x nose, 1 glases, 1 stick, 1 hairstyle, 1 hair color, 1 sword, 1 pants, 1 shirt

I would calculate the number of possible characters using the following equation: 6x10x6x3x31x8x3x15x21 = 253,108,800 combinations

Is my calculation correct? Am I missing something?

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    $\begingroup$ Your calculations look correct. $\endgroup$ Commented Jun 28, 2015 at 18:24

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As Milo noted in a comment, your calculations look correct. You're applying what is known as the rule of product or the multiplication principle.

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