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Use the formula for nCr to evaluate each expression. 4C4
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10. Combinatorics & Probability
Combinatorics
Multiple Choice
How many possible outcomes are there if you roll 5 dice?
A
720
B
7776
C
5
D
6
검증된 단계별 안내1
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 rolls are independent, the total number of outcomes for multiple dice is the product of the outcomes for each die.
For 5 dice, calculate the total number of outcomes by raising the number of outcomes for one die (6) to the power of the number of dice (5).
This can be expressed mathematically as: \( 6^5 \).
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