Question

Which situation involves combinations?

Answer 1

I think the answer is A, Choosing 3 flavors of ice cream out of 15 for an ice cream sundae.

Answer 2

Answer:  Option 'A' is correct.

Step-by-step explanation:

Combination means combination of k things from n objects without repetition irrespective of arrangement and order .

But Permutation means selection of objects in which order of the objects matters, i.e. in arrangement and in order too.

Here,

B) Choosing first, second, and third place winners in a cooking contest.

Definitely it needs an order or arrangement as the order of the position of winners matters as it is, so it is permutation not combination.

C) Choosing a club president, vice president, and treasurer out of 10 candidates.

Since there is a rank so, order of the rank matters too, so, it is a permutation too.

D) Choosing 3 out of 8 possible activities for the morning, afternoon, and evening.

Since it is talking about the sequence of activities to be done in morning , afternoon and evening, so the order matters here too.

But,

A) Choosing 3 flavors of ice cream out of 15 for an ice cream sundae.

In this case order does not matter,it asks for different flavor i.e. without repetition choosing 3 things from 15 objects.

Hence, Option 'A' is correct.