The supreme choice pizza at Maria's Pizza Palace contains 2 different meats and 4 different vegetables. The customer can select any one of 5 types of crust. If there are 4 meats and 7 vegetables to choose from, how many different supreme choice pizzas can be made

Number of different supreme choice pizzas that can be made is 1050

Step-by-step explanation:

 Given the data in the question;

Number of ways in which crust can be selected = 5

Number of ways in which 2 meats can be selected from 4 = ⁴C₂

⇒  4! / ( 2! x (4-2)! )

= 6

Number of ways in which 4 vegetables can be selected from 7 = ⁷C₄

⇒  7! / ( 4! x (7-4)! )

= 35

so; Number of different supreme choice pizzas that can be made;

⇒ 5 × 6 × 35

= 1050

Therefore, Number of different supreme choice pizzas that can be made is 1050

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