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Solution: We compute the number of ways to choose 4 apps from 12 and 3 tools from 7. These are independent selections, so we multiply the combinations:
Question: In a synthetic biology lab, there are 9 engineered microbial strains and 4 gene circuits. A researcher plans an experiment using 3 strains and 2 circuits. How many unique experimental setups can be created assuming no repetition?
Solution: We compute the number of ways to choose 3 strains from 9 and 2 circuits from 4:
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