Question

Can someone who's good at probability please help me?

Answer 1

I have a lot of questions

Answer 2

An ice cream parlor has a choice of 12 different toppings. You can make your own sundae by choosing 1 or more toppings. You can afford at most 4 toppings. How many different types of ice cream sundaes can you order?

Answer 3

I am not good at probability, but I think I know it. :)

Answer 4

I have the answer, just wanna figure out how to get to it..

Answer 5

ok, first case: 1 topping, that is you have 12 choices, right?

Answer 6

yea

Answer 7

So this is a permutation?

Answer 8

second case: 2 toppings, that is you have \(\left(\begin{matrix}12\\2\end{matrix}\right)\) options, right?

Answer 9

yes

Answer 10

wait y did u divide it?

Answer 11

third case is the same for 3 toppings, and fourth case is the same
Now, just add them, you have
\(\left(\begin{matrix}12\\1\end{matrix}\right)+\left(\begin{matrix}12\\2\end{matrix}\right)+\left(\begin{matrix}12\\3\end{matrix}\right)+\left(\begin{matrix}12\\4\end{matrix}\right)\)

Answer 12

it is not divide, it is 12 choose 1, 12 choose 2,.... and we have formula to find it

Answer 13

The answer is 793 lol

Answer 14

ahh okay

Answer 15

Wouldn't you multiply them together?

Answer 16

Okay nvm I got it. Thanks! :)

Answer 17

good