SOLUTION: A pizza shop offers 10 different toppings. How many ways may I select a pizza with no more than 3 toppings?

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Question 1173627: A pizza shop offers 10 different toppings. How many ways may I select a pizza with no more than 3 toppings?
Answer by ikleyn(52824) About Me  (Show Source):
You can put this solution on YOUR website!
.

"No more than 3" means in this case 0, 1, 2, 3.


Negative numbers are PROHIBITED due to common sense; but 0 is nor prohibited, so I include it.


Based on the said above, the answer is


    C%5B10%5D%5E0 + C%5B10%5D%5E1 + C%5B10%5D%5E2 + C%5B10%5D%5E3 = 1 + 10 + 45 + 120 = 176,


if the order of toppings does not matter.