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@otherjames
[code]
ABC=/=ACB etc.
AABC=/=ABC
There are N different toppings available.
A pizza can have any whole number of toppings from 0 to X.
AAB counts as 3 toppings.
Number of different pizzas available =
Number of possible pizzas with 0 toppings 1 (=N^0)
+number of possible pizzas with 1 topping +N^1
+number of possible pizzas with 2 toppings +N^2
+... +...
+number of possible pizzas with X toppings. +N^X
I think.
[/code]