answersLogoWhite

0

How many DIFFERENT results are possible with five dice?

Updated: 8/18/2019
User Avatar

Wiki User

8y ago

Best Answer

If the dice are identical, then there are:

6 results where they are all the same.

6 * 5 = 30 results where one die is one value, and four are another value.

6 * 5 = 30 results where two dice are one value, and three are another value.

6 * 5 * 4 / 2 = 60 results where one die is one value, another die is another value, and three are another value.

6 * 5 * 4 / 2 = 60 results where one die is one value, two dice are another value, and two are another value.

6 * 5 * 4 * 3 / (3 * 2) = 60 results where three dice have unique values and the remaining two dice have a common (but unique from the other dice) value.


And finally,


6 * 5 * 4 * 3 * 2 / (5 * 4 * 3 * 2) = 6 results where all five dice have unique values.


Summing that up you have 6 + 30 + 30 + 60 + 60 + 60 + 6 = 252 unique results. Here they all are:


1,1,1,1,1

2,1,1,1,1

2,2,1,1,1

2,2,2,1,1

2,2,2,2,1

2,2,2,2,2

3,1,1,1,1

3,2,1,1,1

3,2,2,1,1

3,2,2,2,1

3,2,2,2,2

3,3,1,1,1

3,3,2,1,1

3,3,2,2,1

3,3,2,2,2

3,3,3,1,1

3,3,3,2,1

3,3,3,2,2

3,3,3,3,1

3,3,3,3,2

3,3,3,3,3

4,1,1,1,1

4,2,1,1,1

4,2,2,1,1

4,2,2,2,1

4,2,2,2,2

4,3,1,1,1

4,3,2,1,1

4,3,2,2,1

4,3,2,2,2

4,3,3,1,1

4,3,3,2,1

4,3,3,2,2

4,3,3,3,1

4,3,3,3,2

4,3,3,3,3

4,4,1,1,1

4,4,2,1,1

4,4,2,2,1

4,4,2,2,2

4,4,3,1,1

4,4,3,2,1

4,4,3,2,2

4,4,3,3,1

4,4,3,3,2

4,4,3,3,3

4,4,4,1,1

4,4,4,2,1

4,4,4,2,2

4,4,4,3,1

4,4,4,3,2

4,4,4,3,3

4,4,4,4,1

4,4,4,4,2

4,4,4,4,3

4,4,4,4,4

5,1,1,1,1

5,2,1,1,1

5,2,2,1,1

5,2,2,2,1

5,2,2,2,2

5,3,1,1,1

5,3,2,1,1

5,3,2,2,1

5,3,2,2,2

5,3,3,1,1

5,3,3,2,1

5,3,3,2,2

5,3,3,3,1

5,3,3,3,2

5,3,3,3,3

5,4,1,1,1

5,4,2,1,1

5,4,2,2,1

5,4,2,2,2

5,4,3,1,1

5,4,3,2,1

5,4,3,2,2

5,4,3,3,1

5,4,3,3,2

5,4,3,3,3

5,4,4,1,1

5,4,4,2,1

5,4,4,2,2

5,4,4,3,1

5,4,4,3,2

5,4,4,3,3

5,4,4,4,1

5,4,4,4,2

5,4,4,4,3

5,4,4,4,4

5,5,1,1,1

5,5,2,1,1

5,5,2,2,1

5,5,2,2,2

5,5,3,1,1

5,5,3,2,1

5,5,3,2,2

5,5,3,3,1

5,5,3,3,2

5,5,3,3,3

5,5,4,1,1

5,5,4,2,1

5,5,4,2,2

5,5,4,3,1

5,5,4,3,2

5,5,4,3,3

5,5,4,4,1

5,5,4,4,2

5,5,4,4,3

5,5,4,4,4

5,5,5,1,1

5,5,5,2,1

5,5,5,2,2

5,5,5,3,1

5,5,5,3,2

5,5,5,3,3

5,5,5,4,1

5,5,5,4,2

5,5,5,4,3

5,5,5,4,4

5,5,5,5,1

5,5,5,5,2

5,5,5,5,3

5,5,5,5,4

5,5,5,5,5

6,1,1,1,1

6,2,1,1,1

6,2,2,1,1

6,2,2,2,1

6,2,2,2,2

6,3,1,1,1

6,3,2,1,1

6,3,2,2,1

6,3,2,2,2

6,3,3,1,1

6,3,3,2,1

6,3,3,2,2

6,3,3,3,1

6,3,3,3,2

6,3,3,3,3

6,4,1,1,1

6,4,2,1,1

6,4,2,2,1

6,4,2,2,2

6,4,3,1,1

6,4,3,2,1

6,4,3,2,2

6,4,3,3,1

6,4,3,3,2

6,4,3,3,3

6,4,4,1,1

6,4,4,2,1

6,4,4,2,2

6,4,4,3,1

6,4,4,3,2

6,4,4,3,3

6,4,4,4,1

6,4,4,4,2

6,4,4,4,3

6,4,4,4,4

6,5,1,1,1

6,5,2,1,1

6,5,2,2,1

6,5,2,2,2

6,5,3,1,1

6,5,3,2,1

6,5,3,2,2

6,5,3,3,1

6,5,3,3,2

6,5,3,3,3

6,5,4,1,1

6,5,4,2,1

6,5,4,2,2

6,5,4,3,1

6,5,4,3,2

6,5,4,3,3

6,5,4,4,1

6,5,4,4,2

6,5,4,4,3

6,5,4,4,4

6,5,5,1,1

6,5,5,2,1

6,5,5,2,2

6,5,5,3,1

6,5,5,3,2

6,5,5,3,3

6,5,5,4,1

6,5,5,4,2

6,5,5,4,3

6,5,5,4,4

6,5,5,5,1

6,5,5,5,2

6,5,5,5,3

6,5,5,5,4

6,5,5,5,5

6,6,1,1,1

6,6,2,1,1

6,6,2,2,1

6,6,2,2,2

6,6,3,1,1

6,6,3,2,1

6,6,3,2,2

6,6,3,3,1

6,6,3,3,2

6,6,3,3,3

6,6,4,1,1

6,6,4,2,1

6,6,4,2,2

6,6,4,3,1

6,6,4,3,2

6,6,4,3,3

6,6,4,4,1

6,6,4,4,2

6,6,4,4,3

6,6,4,4,4

6,6,5,1,1

6,6,5,2,1

6,6,5,2,2

6,6,5,3,1

6,6,5,3,2

6,6,5,3,3

6,6,5,4,1

6,6,5,4,2

6,6,5,4,3

6,6,5,4,4

6,6,5,5,1

6,6,5,5,2

6,6,5,5,3

6,6,5,5,4

6,6,5,5,5

6,6,6,1,1

6,6,6,2,1

6,6,6,2,2

6,6,6,3,1

6,6,6,3,2

6,6,6,3,3

6,6,6,4,1

6,6,6,4,2

6,6,6,4,3

6,6,6,4,4

6,6,6,5,1

6,6,6,5,2

6,6,6,5,3

6,6,6,5,4

6,6,6,5,5

6,6,6,6,1

6,6,6,6,2

6,6,6,6,3

6,6,6,6,4

6,6,6,6,5

6,6,6,6,6

User Avatar

Wiki User

9y ago
This answer is:
User Avatar
More answers
User Avatar

Wiki User

8y ago

Each dice has 36 possibilities. Find 36 to the power of 6 and the answer should be 2176782336.

This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How many DIFFERENT results are possible with five dice?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

If five dice are rolled how many possible outcomes?

Depends on what detail of outcome you are interested in. If you are only interested in the total, you can get all numbers between 5 (5 ones) and 30 (5 sixes) - a total of 26 different results.


How many outcomes are possible when rolling 5 dice?

Possible outcomes of a single dice are 6 ( 1,2,3,4,5,6) So if 5 such dices are rolled then the number of possible outcomes are 6 mulitiplied by 6 five times. 6x6x6x6x6x6=46656 possible outcomes.


How is it possible to have five different nerve test and all the result come out completely different?

There are many variables involved in testing a persons nerves.æ The results are dependant on the physical and mental state of the patient at the time of the test, and a persons state is constantly in flux. So, different results on five different tests is not unusual and a Neurologist is capable of balancing out the results and finding a proper diagnosis.


What are the results of breeding air and mountain dragons in DragonVale?

The top five possible results are:mountainsnowsandstormfogair


What are the odds of rolling six sixes with five dice?

Zero. If you roll five dice, you cannot get six 6s.


When rolling five dice what is the probability that all 5 dice will be the same number?

The probability of rolling the same number on five dice is (1/6)4, or about 0.0007716.


If five dice are rolled simultaneously what is the probability of getting 5 of a kind in a single roll?

If we are thinking of getting a '6', here are the odds. Wth one dice, its 1 in 6. So,with two dice its 1 in 216 with three dice its 1 in 7776 with four dice its 1 in 279936 with five dice its a huge 1 in 10077696


What is a Dice game with the letter p?

Perquackey is a dice game with 13 letter dice, 10 black and 3 red, and a 3 minute sand timer. The object is to make as many words as possible within the time limit. The game typically goes to five thousand. The game uses the 10 black dice till a score of 2000 is reached, then the 3 red dice are added. Complete rules can be obtained by "Googling" Perquackey.


To win a point pablo must roll an odd number and get heads on the coin toss.How many ways can palbo win a point?

You haven't told us what Pablo/Palbo is using to roll the number with.Is it a pair of dice? A single die ? A wheel of fortune ?Let's assume he has a pair of dice. Then there are 5 possible odd numbersthat he can roll . . . 3, 5, 7, 9, and 11.For each odd number that he rolls, he can only get a point if the coin comesup heads. So there are five possible ways to get a point.================I have a feeling that what you really want to know is: What's the probabilitythat Pablito will win a point with (one roll and one toss).-- There are 11 possible results of the roll ... the numbers from 2 to 12.-- There are 2 possible results of the toss . . . Heads or Tails.-- So there are (11 x 2) = 22 possible results of (a roll and a toss).-- Out of those 22, only 5 results will win a point.-- So the probability of getting a point is 5/22 = 22.7 percent.On a roll of the dice alone, the probability would have been 45.5 percent.But if a coin-toss also has to come up favorably, you cut the chance ofwinning in half.


What is the probabilyity of rolling a sum of five on a dice?

1/6


What is the total possibilities if five dice are rolled?

1 in 6


What is the probability of rolling a five with one dice?

1/6