Question

A child has 11 stuffed animals. How many ways can she choose 3 animals to take along with

her on vacation?

Answer 1

Explanation:

se can take 3 3 3 4 times for each animal that is stuffed in different baga

Answer 2

165 ways

Explanation:

`\binom{n}{m}`

That notation is read "n choose m", and it indicates the number of ways one can choose m objects from a collection of n objects, if we don't care about "order".

So in your case we have

`\binom{11}{3}`

which in terms of a "factorial" notation is

11! / 3! × (11-3)!

11×10×9×8! / 3! × 8!

990 / 3

165

I've just assumed that you know what factorial means. If you don't, feel free to ask me.