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Total attending: 30 + 282 = <<30+282=312>>312
A robot uses 12 liters of fuel per hour. If it operates in extreme cold, fuel efficiency drops by 25%. How much fuel does it consume in 5 hours in cold conditions?
An expedition records 300 artifacts from a site. If 40% are tools, 35% are ceremonial items, and the rest are decorative, how many more tools are there than decorative items?
A cartographer is mapping a region where there are 5 distinct landmarks, and they need to determine the number of ways to choose 3 landmarks to highlight on a new map. How many different combinations of 3 landmarks can be chosen from the 5?
To solve this problem, we need to calculate the number of combinations of 5 landmarks taken 3 at a time. The formula for combinations is given by:
Thus, there are 10 different combinations of 3 landmarks that can be chosen from the 5. Therefore, the final answer is:
A mining engineer is evaluating the environmental impact of mining operations and needs to assess 7 different methods for reducing emissions. They plan to test 4 methods simultaneously. In how many different ways can the engineer choose 4 methods from the 7?
To find the number of ways to choose 4 methods from 7, we use the combination formula:
Hence, there are 35 different ways to choose 4 methods from 7. Therefore, the final answer is:
A linguist is analyzing the evolution of language and considers 6 distinct phonemes. If the linguist wants to study permutations of 4 phonemes at a time, how many different permutations can be arranged from the 6 phonemes?