Nausea and vomiting after surgery are common side effects of anesthesia and pain

Question

Nausea and vomiting after surgery are common side effects of anesthesia and painkillers. Six different drugs, varying in cost , were compared for their effectiveness in preventing nausea and vomiting. The medical researchers looked at all possible combinations of the drugs as treatments, including a single drug, as well as 2 drug, 3-drug, 4-drug, 5-drug, and 6-drug combinations. The researchers stated that a total of 64 drug combinations were tested as treatments for nausea. Verify that there are 64 ways that the six drugs can be combined. (Remember to include the 1-drug and 6-drug combinations, as well as the control treatment of no drugs) ,

Explanation / Answer

Consider the table:

Thus, there are 64 ways.

Number of Drugs (x) Number of Ways (6Cx) 0 1 1 6 2 15 3 20 4 15 5 6 6 1 Total 64

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