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Deidra went to her local bakery to purchase a bagel and a cream cheese topping. Bagels come in plain, blueberry, cinnamon raisin, and garlic. The toppings are plain, chive, and sun-dried tomato. How many different combinations can Deidra choose from if she selects a bagel and a cream cheese topping?

Respuesta :

Using the Fundamental Counting Theorem, it is found that Deidra can choose 12 different combinations.

What is the Fundamental Counting Theorem?

  • It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

  • For the bagels, there are 4 options, hence [tex]n_1 = 4[/tex].
  • For the topping, there are 3 options, hence [tex]n_2 = 3[/tex].

Then:

[tex]N = n_1n_2 = 4(3) = 12[/tex]

Deidra can choose 12 different combinations.

To learn more about the Fundamental Counting Theorem, you can take a look at https://brainly.com/question/24314866

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