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Eric is a magician performing at a birthday party. Eric first performs one of 8 card tricks, which is followed by one of 2 coin tricks. Then he does one of 7 mind-reading tricks. For the grand final, Eric does one of 8 tricks involving a dove. How many different magic shows can Eric perform?

a.224
b.112
c.56
d.16

1 Answer

2 votes

Final answer:

To calculate the number of different magic shows Eric can perform, we multiply the number of options for each trick together. The correct answer is 896.

Step-by-step explanation:

To calculate the number of different magic shows Eric can perform, we multiply the number of options for each trick together. Starting with the card tricks, there are 8 options.

Then, for the coin tricks, there are 2 options. Next, for the mind-reading tricks, there are 7 options.

Finally, for the dove tricks, there are 8 options. So, the total number of magic shows is 8 * 2 * 7 * 8 = 896. Therefore, the correct answer is option a. 224.

User Benjamin McFerren
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