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A fantasy board game makes use of four dice. The first is a standard 6-faced die, the second die has 4 faces, and the other two have 10 faces each. If all the dice are thrown together and their combination dictates a certain outcome of the game, how many possible outcomes exist? A. 30 B. 240 C. 2,400 D. 3,000

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luisejr77

Answer: Option C

2,400

Step-by-step explanation:

When launching the first 6-sided die there are 6 possible outcomes

When launching the 4-sided die there are 4 possible outcomes

When throwing each die of 10 faces there are 10 possible outcomes

So if all the dice are thrown together, the number of possible combinations that can be obtained is:

[tex]S = 6 * 4 * 10 * 10\\S = 24 * 100[/tex]

[tex]S = 2400[/tex] possible results

Finally the answer is the option C.