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Gabriel's favorite snack just became available in 3 new flavors, and he wants to try each of the new flavors
one after the other.
In how many unique orders can Gabriel arrange the new flavors?

Sagot :

turky69420

Answer:

6

Step-by-step explanation:

3! or 3x2x1 because there are 3 different choices at the first, 2 choices on the second and the last flavour is third.

Using factorial, Number of Unique orders can Gabriel arrange the new flavors are 6.

What is factorial?

"If n is a positive integer , n factorial denoted by n! is a product of all positive integers less than or equal to n. It is defined by

n! = n(n - 1)(n - 2)...............(2)(1)

As a special case: 0! = 1."

Given

Flavors = 3

Gabriel want to try each of the new flavors one after the other

Possible orders can Gabriel arrange the new flavors = 3! (factorial)

[tex]=3[/tex]×[tex]2[/tex]×[tex]1[/tex]

[tex]=6[/tex]

Because,

There are 3 different choices at the first time

There are 2 different choices at the second time and one last choice at the third attempt.

∴ Number of Unique orders can Gabriel arrange the new flavors are 6.

Learn more about factorial here

https://brainly.com/question/1357774

#SPJ2

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