Answer: there are 120 possible combinations if Mike chooses 1 song from each style (rock, hip hop, and rap).
Step-by-step explanation: To find the total number of combinations possible if Mike chooses 1 song from each style (rock, hip hop, and rap), you can use the concept of multiplication of combinations.
For each category (rock, hip hop, and rap), there are a certain number of songs. To find the total combinations, you multiply the number of choices in each category.
Number of rock songs = 5
Number of hip hop songs = 4
Number of rap songs = 6
To find the total number of combinations, multiply the number of choices in each category:
Total combinations = Number of rock songs × Number of hip hop songs × Number of rap songs
Total combinations = 5 × 4 × 6
Total combinations = 120
Therefore, there are 120 possible combinations if Mike chooses 1 song from each style (rock, hip hop, and rap).