To tap into the market of college students cramming for nal exams, Domino’s Pizz

Question

To tap into the market of college students cramming for nal exams, Domino’s Pizza starts running a “9 at 9” deal in which any large pizza with exactly 9 of their 20 toppings can be had for only $9.99, if ordered after 9pm. Not to be outdone, Papa John’s starts their own “1776” Fourth of July marketing program in which any large pizza with exactly 17 of their 20 toppings can be had for the same price. Assuming no topping can be ordered more than once on the same pizza, who has more pizza choices: a Domino’s customer or a Papa John’s customer? Why?

Explanation / Answer

(a)C(b) in my answers combination of b items from a different items.
Number of pizza choices for the Domino's pizza = (20)C(9) = 167960

Number of pizza choices for the Papa John’s pizza = (20)C(17) = 1140

So, Dominoes offers more pizza choices

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