Final answer:
The maximum number of different OTC drugs that may be offered for sale through one vending machine is 25.
so the correct answer is option d.
Step-by-step explanation:
The maximum number of different OTC drugs that may be offered for sale through one vending machine can be found using the concept of combinations.
Let's assume there are 25 different OTC drugs available.
The formula to find the number of combinations is nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items taken at a time. In this case, n = 25 and r = 1 (since each drug can only be offered once).
Using the formula, we get 25C1 = 25! / (1!(25-1)!) = 25.
Therefore, the maximum number of different OTC drugs that may be offered for sale through one vending machine is 25, so the correct answer is option d.