A restaurant manager is listing 10 items on a menu. Of these menu items, 8 are appetizers and 2 are main courses. All of the appetizers will be listed before both of the main courses. In how many ways can the restaurant manager list the items

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shubhamchouhanvrVT shubhamchouhanvrVT · Answer 1 · 2022-05-11T13:07:24+02:00

The number of ways is an illustration of selections and arrangements.There are 16 ways to order a two-course meal.

An arrangement is defined as a combination of things that make up a design or that are laid out in a certain way

The given parameters are

Appetizer=8

Main=6

A person can choose 1 a-piece from each menu.

This means that:

There are 8 ways of selecting appetizers, and 2 ways of selecting the main courses.

So, the number of ways (n) is:

[tex]\rm n=Appetizer\times Main[/tex]

[tex]n=8\times 2[/tex]

[tex]n=16[/tex]

Hence, there are 16 ways to order a two-course meal

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