The answer is 24.
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The key to this answer is in the wording of the question - there are four different flavors of ice cream on the cone - meaning no flavor can appear more than once on the cone.
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This particular problem is called a Permutation, and is mathematically expressed as nPr, meaning how many ways can you order n things when selecting r things at a time. The calculation of a permutation is:
nPr = n! / ((n - r)!)
where '!' is the factorial function.
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In this particular question, both n and r equal 4 - there are 4 things, and you are selecting 4 of them at a time. so, the expression equates to:
4P4 = 4! / ((4 - 4)!) = 24 / 1 = 24
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Or, we can arrange the four things in groups of four, and see how many permutations there are. Let's reptesent the four ice cream flavors with the letters a, b, c, and d. When we look at how many ways we can order the four flavors when selecting four at a time, we get the following list of permutations:
1 a,b,c,d
2 a,b,d,c
3 a,c,b,d
4 a,c,d,b
5 a,d,b,c
6 a,d,c,b
7 b,a,c,d
8 b,a,d,c
9 b,c,a,d
10 b,c,d,a
11 b,d,a,c
12 b,d,c,a
13 c,a,b,d
14 c,a,d,b
15 c,b,a,d
16 c,b,d,a
17 c,d,a,b
18 C,d,b,a
19 d,a,b,c
20 d,a,c,b
21 d,b,a,c
22 d,b,c,a
23 d,c,a,b
24 d,c,b,a
As we can see, there are 24 permutations.
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If we were allowed duplicates, that is, any arrangement of flavors, where a flavor could occur none, once, twice, three times, or even four times, then the answer would be 256. In this case, the mathematical expression is
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S = an
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where 'a' is the set of things chosen (ice cream flavors) and 'n' is the number of times it is selected. In this case, both n and a are 4, so the equation works out as follows.
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S = 44 = 256.
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If we were to list the possible arrangements, it would be as follows.
1 a,a,a,a
2 a,a,a,b
3 a,a,a,c
4 a,a,a,d
5 a,a,b,a
6 a,a,b,b
7 a,a,b,c
8 a,a,b,d
...
252 d,d,c,d
253 d,d,d,a
254 d,d,d,b
255 d,d,d,c
256 d,d,d,d
12
* * * * *
That is not the correct answer, however you look at it. And, unfortunately, the question is not clear enough.
So, for example,
No repeats, order matters: 4P3 = 4*3*2 = 24 ways.
No repeats, order does not matter : 4C3 = 4*3*2/(3*2*1) = 4 ways.
16 since you mulitiply 4 times 4 to receive the answer
as manny ways as you want
6 ways
The answer is 4*3*2*1 which is 24
256
200 different combinations. :)
31
Ice cream is wonderful because you get to taste a cold treat they have different flavors
LevelFlavourNumber of Scoops#1Strawberry25#2Vanilla50#3Chocolate75#4Mint100#5Blueberry125#6Vanilla Chocolate Chip150#7Strawberry Vanilla Chocolate175#8Peach200#9Vanilla Chocolate Swirl225#10Double Chocolate250#11Tigersquash275#12Rainbowberry300#13Garlicky Bratwurst325
too much%
There are many different flavors of gourmet coffee. Some of these flavors include blueberry cream, bourbon truffle, coconut cream, cinnamon viennese, peppermint patty and pistachio.
One
People has different opinions about ice cream flavors. But mine blue moon bitch
Time(scoops)
You get 37 scoops out of a gallon of ice cream.
You can find a list of Hagen Daz ice cream flavors at the Haagen Dazs website. Once on the page, hover over "Taste" in the top navigation menu and click on "Ice Cream" to bring up a listing of available flavors.
very carefully.