audreecarlson
contestada

Anne needs 2 kinds of fruits to prepare a fruit salad. She has 6 kinds of fruits to choose from. In how many ways can she choose the fruits? Identify if the situation involves combinations or permutations.

Respuesta :

There are 15 ways she can choose the fruits.  Since order is not important, this is a combination.

The combination is given by
[tex]_6C_2=\frac{6!}{2!4!}=\frac{720}{48}=15[/tex]
konrad509

The order doesn't matter. It's the combination then.

[tex]k [/tex] objects can be chosen out of [tex] n [/tex] objects, when the order doesn't matter, in [tex] C(n,k)=\dfrac{n!}{k!(n-k)!} [/tex] ways.

So, the answer is [tex] C(6,2)=\dfrac{6!}{2!4!}=\dfrac{5\cdot6}{2}=15 [/tex] ways.

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