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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.
"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
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