An ice cream shop offers the toppings shown below. How many 4-topping ice cream sundaes can you make?
chocolate chips
walnuts
strawberry sprinkles
caramel
hot fudge
whipped cream
gummy bears
11
28 **
30
35
28 is not correct
you are selecting 4 toppings from 7
This is a 'combination' type question
number of ways
= C(7,4) = 7!/(5!2!) = 35
If you care about the order in which the toppings are put on the sundae
then it would be
P(7,4) = 7x6x5x4 = 840 , which is not one of the choices, so they must not care about the order.
My answer at the top is correct.
your right
I think you're right -- but I'm not sure. Basically I'm an English and social studies teacher and haven't had a math class since high school -- over 60 years ago.
Thanks, Reiny! :-)
An ice cream shop offers the following toppings:
chocolate chips
strawberry sprinkles
caramel
hot fudge
whipped cream
gummy bears
If a sundae must have exactly four toppings, how many different sundaes can you make?
A. 15
B. 24
C. 12
D. 18
To solve this problem, we can use combinations. We want to choose 4 toppings from a set of 6, which is a combination of 6 items taken 4 at a time. The formula for this is:
C(6,4) = 6! / (4! * 2!) = 15
Therefore, there are 15 different sundaes you can make with exactly four toppings. The answer is A.