Question: Is the selection below a permutation, a combination, or neither? Explain your reasoning. A group of 1 2 friends each pick their favorite day of
Is the selection below a permutation, a combination, or neither? Explain your reasoning.
A group of friends each pick their favorite day of the week.
Choose the correct answer below.
A As a friend liking Friday is different than the same friend liking Monday, the order in the selection process is irrelevant. Also, there are only seven days in a week so there will be duplicated favorite days. So there will be repetition in the selection process. Therefore, the selection is neither a combination nor a permutation.
B As a friend liking Friday is different than the same friend liking Monday, the order in the selection process is vital. Also, there are only seven days in a week so there will be duplicated favorite days. So there are no repetitions in the selection process. Therefore, the selection is a permutation.
C As a friend liking Friday is different than the same friend liking Monday, the order in the selection process is irrelevant. Also, there are only seven days in a week so there will be duplicated favorite days. So there are repetitions in the selection process. Therefore, the selection is a permutation.
D As a friend liking Friday is different than the same friend liking Monday, the order in the selection process is irrelevant. Also, there are only seven days in a week so there will be duplicated favorite days. So there are no repetitions in the selection process. Therefore, the selection is a combination.
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