Question

Can anyone walk me through this?

Leo can order a small, medium, or large yogurt. There are 10 flavors and 5 toppings from which to choose.



How many ways can Leo order a yogurt?



A.
18


B.
35


C.
50


D.
150

Answer 1

OOH! Funzies yes I can!

Answer 2

SO let us begin. How many sizes can he choose from?

Answer 3

3

Answer 4

What a lame yogurt store they are to ONLY offer us 1 topping!

Answer 5

So now, let's say he picks large, how many sizes are left?

Answer 6

um.. 2

Answer 7

good and now if he got a medium too? How many left?

Answer 8

1

Answer 9

How is that at all relevant?

Answer 10

3 choices for size x 10 choices for flavor x 5 choices for topping

Answer 11

3 independent choices...so you just multiply

Answer 12

10*5 ?? =35

Answer 13

no...3 x 10 x 5

Answer 14

oh... = 150

Answer 15

Alright, so now, what you just did was break that down into a factorial. And because I was thinking permutations not combinations that is not relevant unfortunately

Answer 16

yes..150

Answer 17

ie 3!=3*2*1

Answer 18

Factorials are not involved on this one

Answer 19

but anyways, this is not a permutations so oopsie

Answer 20

so the correct answer is 150.... Hmm... that was sort of easy

Answer 21

If you had 3 pants and 5 shirts, how many different outfits could you wear?
3 x 5 = 15
same idea heare

Answer 22

yep...pretty easy

Answer 23

ohh ok so were multilying here

Answer 24

yup

Answer 25

yes....if the choices you are making are independent of one another...you just multiply the number of choices you have for each decision

Answer 26

Thank you! Both of you!

Answer 27

key word: independent