Question

How would I go about solving this?

Marco is putting some sweaters into storage for winter. He has 10 sweaters, and he can fit 6 sweaters into a box. How many different groups of sweaters can Marco pack into a box?

Answer 1

@rational

Answer 2

10 C 6?

Answer 3

?

Answer 4

@phi

Answer 5

Can you help? I'm reviewing for my exam, and there's a lot I forgot..

Answer 6

I think they are asking how many combinations of 6 sweaters you can pick out of 10
10 Choose 6

Answer 7

You have 10 sweaters/options and you only can choose 6
How many diff combinations can you have?
So the formula for 10 choose 6 is ...
\[\frac{n!}{k!(n-k)!}= \frac{10!}{6!4!}\]
Where n are the total amt of options and k is the amt you can choose
In this case n=10 and k=6

Answer 8

oh, that makes sense

Answer 9

210

Answer 10

yea

Answer 11

thank you, I totally forgot about that