Respuesta :
If there are 2 different meats and 4 different vegetables from 4 meats and 8 vegetables then there can be 10080 different types of pizzas.
Given that there are 4 types of meats and 8 types of vegetables and we have to chose 2 types of meats and 4 types of vegetables.
We are required to find the number of supreme pizzas that can be made from the given types of meats and types of vegetables.
Combinations are the ways in which the things can be choosen to make different types of things. The different ways in which how types of meats and types of vegetables choosen is equal to the number of different types of supreme pizzas.
2 types of meats selected from 4 types of meats=4[tex]C_{2}[/tex]
4 types of vegetables selected from 8 types of vegetables=8[tex]C_{4}[/tex]
Types of crust=4!.
Number of pizzas=4[tex]C_{2}[/tex]*8[tex]C_{4}[/tex]*4!
=4!/2!*2! *8!/4!*4! *4!
=(4*3)/2 * 8*7*6*5
=12/2 *56*30
=6*1680
=10080 types of pizzas
Hence if there are 2 different meats and 4 different vegetables from 4 meats and 8 vegetables then there can be 10080 different types of pizzas.
Learn more about combinations at https://brainly.com/question/11732255
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