The students in the 19 member advanced communications design class at Center City Community College are submitting a project to a national competition. They must select a 6 member team to attend the competition. The team must have a team leader and a main presenter; the other 4 members have no particularly defined roles. In how many different ways can this team be formed?
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.
The students in the
advanced communications design class at Center City Community College are submitting a project to a national competition.
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