arturo can have pizza for dinner on any two of the next six days. how many different ways can he select the days on which to have pizza?

Respuesta :

the 15 different ways can he select the days on which to have pizza

What is combination?

A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The quantity of k-combinations for a set with n components

Arturo can have pizza for dinner on any two of the next six days.

he select the days on which to have pizza

So the number of ways c(6 2)

= [tex]\frac{6!}{4!2!}[/tex]

=[tex]\frac{30}{2}[/tex]

=15 ways

Hence the 15 different ways can he select the days on which to have pizza.

Learn more about combination, by the following link.

https://brainly.com/question/11732255

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