Question

A buffet offers six flavors of ice cream, four different syrups, and five toppings. How many different sundaes consisting of ice cream, syrup, and toppings are possible?

Answer 1

Is it 15(factorial)?

Answer 2

@hartnn am i right?

Answer 3

I thinkk im wrong because I was thinking that for each sundae the amount of toppings, syrups, decreases by one?

Answer 4

not sure, but i think its 6!4!5!
2nd opinion is recommended.

Answer 5

@Callisto

Answer 6

@RadEn

Answer 7

6x4x5?! 99% wrong...I don't like this type of questions :(

Answer 8

(6+5+4)!/(6!5!4!) = 15!/(6!5!4!)

Answer 9

Where do you see that?

Answer 10

i think Rad is correct.

Answer 11

Alright, thanks guys :)

Answer 12

for the denominator do i multiply or add them together?

Answer 13

its the fundemental theorem of counting

multiply the number of events at each stage

flavors x syrups x toppings...


this gives the number of different sundaes possible,

Answer 14

so @RadEn was wrong?

Answer 15

well it many give the correct answer but the simplest way to understand the theorem...

multiply the number of events at each stage...

Answer 16

Well the way @RadEn does it it completely different than what your saying, so that means someone is wrong?

Answer 17

what are the answers... ?

Answer 18

630630

Answer 19

and if you like it can be done on e tree diagram



get the idea..

Answer 20

lol... if its 630630... I'll walk naked through New York

Answer 21

Actually, how to get 15!/(6!5!4!)?
I share the same view with campbell_st ...

Answer 22

lol...i live in New York :P

Answer 23

120?

Answer 24

just go a google fundemental theorem of counting....

Answer 25

and thats the correct answer...

Answer 26

Thank You!

Answer 27

questions of this nature can be described using a tree diagram...