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Three friends decide to go out to eat, and then go shopping. if there are 5 local restaurants and 4 good stores for shopping, how many possibilities are there for their big night out

Respuesta :

Using the Fundamental Counting Theorem, there are 20 possibilities for their big night out.

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]

For this problem, we have that:

  • There are 5 restaurants, hence [tex]n_1 = 5[/tex].
  • There are 4 stores, hence [tex]n_2 = 4[/tex].

The number of possibilities is given by:

N = 5 x 4 = 20.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866

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