The students in Dr. Lee's math class are asked to vote on the starting time for their final exam. Their choices are M for 8:00AM, A for 10:00AM, T for 12NN, or H for 2:00PM. The results of the election are shown in the preference table below. Number of votes 8 12 5 3 2 | 2 MATHA M Second Choice A| M Н т т н THAMMA Fourth Choice | н т м A Н | т First Choice ThirdChoice Determine the starting time using the pairwise comparison method. If a room for Dr. Lee's final exam was not available at 2:00PM, and the votes were recounted in the election, is the irrelevant alternatives criterion violated?
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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