An advisory committee is being formed for a new project at a company. The committee has 6 identical positions to be filled. The committee is to consist of 2 people chosen from the Research and Development Department, which has a total of 12 employees, and 4 people from the Marketing Department, which has a total of 20 employees. How many total possible advisory committees could be formed from these choices?
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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