Student Congress has nine members who are seniors and six members who are juniors. At Spring Premiere for prospective students, one of the juniors greets prospective students, one works at the registration table, and a third gives a welcome to the campus greeting. One of the seniors introduces the dean of students, another introduces the academic vice-president, and the third discusses how to apply for financial aid. How many ways can these assignments be made?
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.
Student Congress has nine members who are seniors and six members who are juniors. At Spring Premiere for prospective students, one of the juniors greets prospective students, one works at the registration table, and a third gives a welcome to the campus greeting. One of the seniors introduces the dean of students, another introduces the academic vice-president, and the third discusses how to apply for financial aid. How many ways can these assignments be made?
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