Multiple Choice
You want to arrange the books on your bookshelf by color. How many different ways could you arrange 12 books if 4 of them have a blue cover, 3 are yellow, and 5 are white?
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21. Combinatorics and Probability
Combinatorics
Multiple Choice
How many possible outcomes are there if you roll 5 dice?
A
720
B
7,776
C
5
D
6
Verified step by step guidance1
Understand that each die has 6 faces, numbered from 1 to 6.
When rolling a single die, there are 6 possible outcomes.
Since the dice are independent, the total number of outcomes when rolling multiple dice is the product of the number of outcomes for each die.
For 5 dice, calculate the total number of outcomes by raising the number of outcomes for one die to the power of the number of dice: \(6^5\).
Evaluate \(6^5\) to find the total number of possible outcomes when rolling 5 dice.
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