B2. b. Determine whether each situation involves a permutation or a combination. then find the possibilities. a. Choosing the first, second and third-place in a race with 10 competitors, b. Ten students have been elected to serve on students' council. In how many ways can 4 of these students be chosen to represent the school as ambassadors at the provincial education conference? c. Checking out 4 library books from a list of 8 books for research paper. d. Seating 5 men and 5 women alternately in a row beginning with a man.
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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