# Number of combinations of 30 dice rolls

• njl86
In summary, the number of possible combinations from rolling 30 dice is 1,073,741,824. This number is not affected by the order of the dice rolls, as each roll is independent. The number of dice has a significant impact on the total number of combinations, with the number increasing exponentially as the number of dice increases. An example of a combination of 30 dice rolls could be 6, 4, 2, 3, 1, 5, 6, 1, 2, 4, 6, 3, 2, 5, 1, 4, 6, 3, 2, 4, 1, 5, 6
njl86
You roll thirty dice.
How many different possible combinations can be rolled?
Order does not matter

I think it's 6^30 choose 30, so:
$$\frac{(6^{30})!}{(6^{30}-30)!(30!)}$$

Also, perhaps the more important part of my question - any idea how to approximate this? The numbers involved are very large

## 1. How many possible combinations can be made from rolling 30 dice?

The number of possible combinations from rolling 30 dice is 1,073,741,824. This can be calculated by raising the number of sides on each dice (6) to the power of the number of dice (30).

## 2. Is this number affected by the order of the dice rolls?

No, this number does not take into account the order of the dice rolls. Each dice roll is independent and the number of combinations remains the same regardless of the order.

## 3. How does the number of dice affect the total number of combinations?

The number of dice has a significant impact on the total number of combinations. As the number of dice increases, the number of possible combinations increases exponentially.

## 4. Can you give an example of a combination of 30 dice rolls?

One possible combination of 30 dice rolls could be: 6, 4, 2, 3, 1, 5, 6, 1, 2, 4, 6, 3, 2, 5, 1, 4, 6, 3, 2, 4, 1, 5, 6, 2, 3, 4, 5, 1, 6, 2.

## 5. How does this concept apply to other situations or experiments?

The concept of calculating the number of combinations can be applied to various situations and experiments, such as flipping coins, drawing cards, or choosing lottery numbers. It is a fundamental concept in probability and combinatorics that is useful in many scientific fields.

• Set Theory, Logic, Probability, Statistics
Replies
6
Views
2K
• Set Theory, Logic, Probability, Statistics
Replies
16
Views
2K
• Set Theory, Logic, Probability, Statistics
Replies
10
Views
2K
• Set Theory, Logic, Probability, Statistics
Replies
6
Views
3K
• Set Theory, Logic, Probability, Statistics
Replies
5
Views
2K
• Precalculus Mathematics Homework Help
Replies
53
Views
6K
• Set Theory, Logic, Probability, Statistics
Replies
9
Views
2K
• Set Theory, Logic, Probability, Statistics
Replies
11
Views
2K
• General Math
Replies
2
Views
3K
• Set Theory, Logic, Probability, Statistics
Replies
1
Views
1K