Alicia can choose 2 of her 5 best friends to go with her to the amusement park. Her best friends are Connie, Dale, Eric, Finley, and Georgette. How many different pairs of 2 friends can she choose from the 5 ?

Respuesta :

Answer:

2

Step-by-step explanation:

5/2= 2.5 ((or 2 1/2) (or 250%) any you prefer) But you can't get half a person to come in the amusement park so we round it down (2.5 → 2)

So the answer is 2

The different pairs of 2 friends can she choose from 5 is 20.

What is Permutation?

A permutation is an ordered arrangement of outcomes and an ordered combination.

We have already seen the basic permutations formula in the previous section. Here are different permutations formulas that are used in different scenarios.

For example, there are 5 chairs and 3 persons are to be seated. We have 5 ways to seat the first person; 4 ways to seat the next person and 3 ways to seat the third person. Thus, to find the number of ways for arranging 3 persons in 5 chairs, we multiply the options available to us. We do it in 5 × 4 × 3 ways. i.e., it can be done in 60 ways. Observe that 5 × 4 × 3 can be written as

(5!) / (2!) (or) (5!) / (5 - 3)!.

Generalizing this, we get n options to fill the first chair, n-1 options to fill the second and n-2 options to fill the third chair. Thus, the total number of permutations (arrangements) of r people in n chairs can be expressed as: nPr = n! / (n - r)!.

Given:

n= 5, r=2

Using Permutation,

[tex]^{n}P_r[/tex] = n!/ ( n-r)!

= 5!/ 3!

=5*4*3!/ 3!

=5*4

=20

Hence, in 20 different ways pairs of 2 friends can she choose from the 5.

Learn more about permutation here:

https://brainly.com/question/1216161

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