contestada

Question 16 A restaurant manager is listing 7 items on a menu. Of these menu items, 3 are appetizers and 4 are main courses. All of the appetizers will be listed before all of the main courses. In how many ways can the restaurant manager list the items?

Respuesta :

There are 144 ways the restaurant manager list the items if the restaurant manager is listing 7 items on a menu.

What is permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

A restaurant manager is listing 7 items on a menu. Of these menu items, 3 are appetizers and 4 are main courses.

First three items in the list are appetizers

Number of ways = 3×2×1 = 6 ways

Remaining places = 7 – 3 = 4

For the remaining places there are 4 main courses left

Number of ways = 4×3×2×1 = 24 ways

The total number of ways the restaurant manager list the items:

= 6×24

= 144

Thus, there are 144 ways the restaurant manager list the items if the restaurant manager is listing 7 items on a menu.

Learn more about permutation and combination here:

https://brainly.com/question/2295036

#SPJ1

Otras preguntas