I did the math in school because I was bored. As it turns out, my pizza program can yield over 4,200 meal combinations. Tell me if my logic is wrong.

First, the toppings. This is the most convoluted part. There are five toppings.

Any one topping: can be represented by all one digit numbers from one to five; 5

Any two toppings: all two digit numbers from 11 to 55 with only the numbers 1,2,3,4, and 5 and no doubles; 20

Any three toppings: all 3 digit numbers from 111 to 555, etc, no triples, not counting the numbers that are just in a different order (like, 124 and 142); 123, 124, 125, 134, 135, 145, 234, 235, 245, 345...I can't think of any other combinations, so 10.

Any 4 toppings: Only four possible combinations. 4

And, add one for all five and another for none at all. That's 41 total combinations.

Second comes the Extras. There are three things to choose from, with 4 choices each: three flavors and NONE. 4 chips * 4 cookies * 4 drinks = 66.

41 topping combos * 66 extra combos = 2706. That's already a lot. Double that because there are two sizes of pizza to choose from, and you get...5412.

Is it just me, or is this a HUGE number? Please check my logic, especially that for the toppings.



EDIT: Thanks to Zanzibar, I noticed that the any two toppings number can't be correct. It's 10, not 20. I forgot to exclude repeating numbers like I did with the triple and quadruple digits. The new total is 4,092. (Haha, what a difference.)

hm... two toppings...
12, 13, 14, 15, 23, 24, 25, 34, 35, 45. Ten, right?
» Zanzibar on 2008-05-17 03:18:23

Math hurts my brain more on weekends. X|

I'll just say you're right and go with that...
» randomjunk on 2008-05-17 05:25:01

hmmmhmmm u make my head hurt


>:[
» Ruby-in-slippers on 2008-05-17 10:52:06

If you're talking about my comment, it wasn't nearly long enough. I could've written a thousand words more, but I'd have started using swear words.
» randomjunk on 2008-05-17 11:21:04

Wasn't there a dude named Jesus though? I doubt he actually did anything astounding but there was probably someone they based all that on.
» randomjunk on 2008-05-17 11:51:06

I don't like it.
Because I don't like math.

No jokes, either. They hurt my feelings D:
» Steigenator on 2008-05-17 11:59:23

No, I'm saying there was probably just some guy who did a few nice things and they exaggerated everything about him and created "Jesus".
» randomjunk on 2008-05-18 12:08:48

Look at me!
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» Claude (213.134.176.50) on 2010-08-31 12:44:17

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