Question: Is the selection below a permutation, a combination, or neither? Explain your reasoning. Choose…

Is the selection below a permutation, a combination, or neither? Explain your reasoning.

Choose the correct answer below.

A. As the order in which the pictures were chosen in does not matter to the customer, the order in the selection process is irrelevant. Also the photographer would not choose the same picture twice, thus there are repetitions in the selection process. Therefore, the selection is neither a permutation nor a combination.

B. As the order in which the pictures were chosen in does not matter to the customer, the order in the selection process is vital. Also the photographer would not choose the same picture twice, thus there are no repetitions in the selection process. Therefore, the selection is a permutation.

C. As the order in which the pictures were chosen in does not matter to the customer, the order in the selection process is irrelevant. Also the photographer would not choose the same picture twice, thus there are no repetitions in the selection process. Therefore, the selection is a combination.

D. As the order in which the pictures were chosen in does not matter to the customer, the order in the selection process is irrelevant. Also the photographer would not choose the same picture twice, thus there are repetitions in the selection process. Therefore, the selection is a permutation.

Solution

To solve the problem, we need to determine whether the selection process described is a permutation, a combination, or neither. A permutation is concerned with the arrangement of items where the order matters and typically there are no repetitions. A combination is a selection of items where the order does not matter and also usually without repetitions. Let’s analyze each option: - Option A: States that the order does not matter and there are repetitions, which typically indicates “neither a permutation nor a combination.” - Option B: States that the order does not matter and there are no repetitions, but it incorrectly calls this a permutation since permutations require order to be relevant. - Option C: Correctly states that the order does not matter and there are no repetitions, identifying the selection as a combination. - Option D: States that the order does not matter, identifies no repetitions, and incorrectly calls this a permutation. The correct answer is C: The selection is a combination, as the order does not matter and there are no repetitions.