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Concept explainers
a.
To explain do the outcomes of rolling the four dice represents permutations or combinations.
a.
![Check Mark](/static/check-mark.png)
Answer to Problem 28SR
The rolling of four dice represent permutations.
Explanation of Solution
Given information:
Each player rolls four dice at the same time
The outcome of rolling of four dice represents permutations because in the outcome of rolling of four dice the order is important where in case of combinations the order is not important.
Use definition of permutation and combination.
b.
To write the number outcomes possible.
b.
![Check Mark](/static/check-mark.png)
Answer to Problem 28SR
Number of possible outcome is 360.
Explanation of Solution
Given information:
Each player rolls four dice at the same time.
The number of possible outcomes can be calculated using permutation formula:
Therefore,
Number of possible outcome is 360.
c.
To calculate the probability of four dice showing the same number on a single roll.
c.
![Check Mark](/static/check-mark.png)
Answer to Problem 28SR
The Probability of four dice showing the same number
Explanation of Solution
Given information:
Each player rolls four dice at the same time.
The probability of all four dice showing the same number.
There are six numbers on the dice therefore six outcomes shows same number on the four dice .
Therefore,
Probability of four dice showing the same number
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