Darnell is at a music festival where several bands play at the same time. There are 6 bands playing from 3:00 to 4:00, and 5 bands playing from 4:00 to 5:00 From 5:00 to 6:00,9 bands are playing Lastly, there are 10 bands are playing from 6:00 to 7:00 . Assuming Darnell goes to see exactly one band every hour, how many different sets of bands can Darnell see at the music festival? square ways

Here's how to solve this problem:<br /><br />* **3:00 - 4:00:** Darnell has 6 choices of bands.<br />* **4:00 - 5:00:** Darnell has 5 choices of bands.<br />* **5:00 - 6:00:** Darnell has 9 choices of bands.<br />* **6:00 - 7:00:** Darnell has 10 choices of bands.<br /><br />Since Darnell chooses one band from each time slot, we multiply the number of choices for each hour together to find the total number of different sets of bands Darnell can see:<br /><br />6 * 5 * 9 * 10 = 2700<br /><br />So, there are 2700 different sets of bands Darnell can see.<br /><br />Final Answer: The final answer is $\boxed{2700}$<br />