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.