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A researcher wishes to study the cumulative effects of several combinations of HIV drugs. There are...

  1. A researcher wishes to study the cumulative effects of several combinations of HIV drugs. There are six drugs being studied, and the researchers are investigating the impact of giving two drugs, such that study participants are given one drug, and then exactly 2 hours later, a second is administered. How many ways can the drug combinations be administered? (Hint: think about order… Is giving drug A after B different than giving drug B after A?)

2. A certain animal behavior lab has 11 lines of mangrove rivulus (Kryptolebias marmoratus). If a researcher needs several different lines to perform an experiment, in how many different ways could they choose five lines from the available lines?

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