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what is permutation?

147 Points
11 years ago

Dear kara

A permutation is an arrangement of objects in a specific order. For example, if four students are scheduled to give a report in class, then each possible order in which the students give their reports is a permutation

The number of possible permutations is shown in the following table.

Number of Students       Number of Outcomes
1st                         4                          4
2nd                        3                        4 * 3 = 12
3rd                         2                        4 * 3 * 2 = 24
4th                         1                        4 * 3 * 2 * 1 = 24

We say that this is the number of permutations of 4 things taken 4 at a time,
which can be symbolized as 4P4= 4 * 3 *2 * 1 = 24.There are 24 permutations;
that is, there are 24 different orders in which the 4 students can give their
reports.

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