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Please help with my algebra

Determine whether the situation involves a permutation or combination. Then, find the number of
possibilities.
In how many ways could you choose 3 side dishes from a menu that offers 5 vegetable side dishes
and 3 starches if you want at least one vegetable and one starch?

Respuesta :

MrRoyal

The situation involves combination

There are 45 possibilities of choosing the 3 side dishes from the menu

How to determine the number of ways?

The given parameters are

  • Dishes to choose = 3
  • Vegetable = 5
  • Starch = 3

The keyword choose means that the situation involves combination.

Given that you want at least one vegetable and one starch, the selections are:

(Vegetable, Starch) = (1,2) and (2,1)

So, the number (n) of ways the dishes can be selected is:

n = 5C1 * 3C2 + 5C2 * 3C1

Apply the combination formula on each expression

n = 5 * 3 + 10 * 3

Evaluate the sum

n = 45

Hence, there are 45 possibilities of choosing the 3 side dishes from the menu

Read more about combination at:

https://brainly.com/question/11732255

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