Jamie wants to buy five donuts
from an ample supply of three types
of donuts: strawberry, chocolate,
and caramel. How many different
selections are possible?

Respuesta :

The number of possible selections of the five donuts is; 21

Permutation and Combination

The ample supply contains;

  • Strawberry
  • Chocolate
  • Caramel

Since he wants to select 5 donuts, the orders could be;

Strawberry = 4, Chocolate = 1, Caramel = 0

or

Strawberry = 4, Chocolate = 0, Caramel = 1

or

Strawberry = 3, Chocolate = 2, Caramel = 0

e.t.c

Now, to solve this, Each option for Jamie is represented by an imaginary picture of five donuts (circles) and two bars (shelf separators).

Thus, the number of ways to select two spaces from 7 is;

7!/(5! × 2!) = 21

Read more about permutations and combinations at; https://brainly.com/question/11871015

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