Related Articles
- If a train travels 180 miles in 3 hours, how far will it travel in 7 hours at the same speed?
- Speed = 180 miles / 3 hours = 60 miles per hour.
- Distance in 7 hours = 60 miles/hour * 7 hours = 420 miles.
- A glaciologist is studying a glacier with 5 distinct crevasses, each needing to be labeled with a unique identifier using just 3 different symbols: A, B, and C. How many distinct labeling arrangements are possible if each crevasse must be labeled and symbols can repeat?
- Each crevasse can be labeled using one of the 3 symbols: A, B, or C. Since the symbols can repeat, the number of ways to label each crevasse is 3. Given there are 5 crevasses, and each can be independently labeled, the total number of distinct labeling arrangements is calculated by raising the number of choices per crevasse to the power of the number of crevasses:
- Thus, the total number of distinct labeling arrangements is \(\boxed{243}\).
