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how many ways can Alex select 3 candies from a jar with 5 candies​

Sagot :

Answer:

There are 60 ways can Alex select 3 candies from a jar with 5 candies.

Step-by-step explanation:

The problem is about Permutations. Therefore, we must use the formula

  • [tex] \boxed{P(n,r)=\frac{n!}{(n-r)!}}[/tex]

We have the given

  • n = 5
  • r = 3

Substitute the givens to the formula

[tex] P(5,3)=\frac{5!}{(5-3)!}[/tex]

[tex] P(5,3)=\frac{5!}{2!} [/tex]

[tex] P(5,3)=5\cdot 4 \cdot 3 [/tex]

[tex] P(5,3) = 60 [/tex]

There are 60 ways can Alex select 3 candies from a jar with 5 candies.