How many different single scoop ice cream cones can you make if there are 2 types of cones 3 sizes of each cone and 25 flavors? In the case where you want 2 scoops the same, you have 25 options. In the case where you want 2 scoops different, you have 25 options for the first scoop, and 24 for the second, so
600 total
.
How many kinds of 2 scoop cones are there with 31 flavors?
Answer. There are 31 possible flavors for the first scoop. That leaves 30 possible flavors for the second scoop. Using the multiplication rule, there are 31 × 30 =
930 possible
two scoop cones that Jessica could order.
How many kinds of 2 scoop cones are there with 10 Flavours?
=
90 different
two-scoop cones.
How many ways can you make an ice cream cone if there are 3 types of cone 5 types of flavors and 2 types of toppings?
How many different 3-flavor ice cream cones can be made? Explanation: There are
5x4x3 ways
to arrange 5 flavors in 3 ways.
How many different combinations of flavors of three scoops of ice cream are possible if it is permissible to make all three scoops the same flavor?
The answer is
20
.
How many different single scoop ice cream cones can you make if there are 2 types of cones 3 sizes of each cone and 10 flavors?
How many different single scoop ice cream cones can you make if there are 2 types of cones 3 sizes of each cone and 25 flavors? In the case where you want 2 scoops the same, you have 25 options. In the case where you want 2 scoops different, you have 25 options for the first scoop, and 24 for the second, so
600
total.
How many combinations of 10 flavors are there?
First, 3 flavors out of the 10 will need to be chosen. This can be done in 10C3=
120
10 C 3 = 120 ways.
How do you calculate the number of possible combinations?
Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter. To calculate combinations, we will use the
formula nCr = n! / r! * (n – r)!
, where n represents the total number of items, and r represents the number of items being chosen at a time.
How many ways are there to stack an ice cream cone with 4 scoops?
How many different quad-cones can you get? 104 =
10,000
– each cone is a sequence of 4 scoops of 10 possible flavors 2.
What is the total number of combinations of one ice cream flavor?
Therefore, a cone with a choice of a flavor and a topping equals 9, and a cup with a choice of an ice cream flavor and a choice of a topping = 9. Since 9 + 9 = 18, there are a total of
18 combinations
that you could have.
How many ways can you choose a bowl with 3 scoops of ice cream order doesn’t matter from 6 flavors where repetition is allowed?
You can have three scoops. How many variations will there be? Why is the answer 35 =
7
!/(3!
How many ways can you create a bowl with 4 scoops if you can have multiple scoops with the same flavor?
For every combination of 4 scoops, they can be arranged in 4! = 4*3*2*1 =
24 ways
. So we need to divide 3024 by 24 to get the number of 4-scoop combinations that are possible. 3024/24 = 126 different bowls.
What is the formula for combinations and permutations?
The formula for permutations and combinations are related as:
nCr = nPr/r!
What is a permutation vs combination?
permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a
combination when order is not a factor
.
What are the flavors of ice cream?
- Vanilla.
- Chocolate.
- Cookies N’ Cream.
- Mint Chocolate Chip.
- Chocolate Chip Cookie Dough.
- Buttered Pecan.
- Cookie Dough.
- Strawberry.
How many different triple scoop ice cream cones are possible if three scoops of the same flavor are permitted from 31 different flavors?
b) How many different 3-scoop ice cream cones are possible if each scoop is a different flavor and you want the scoops put on the cone in a particular order? =
26,970
. OR 31 ∙ 30 ∙ 29 = 26,970.
