Adams Middle School is going to select a committee. The committee will have a faculty member, a male student, a female student, a parent, and a school board member. Here are the positions and the people interested in each. Position People interested Faculty member Mrs. Ramirez, Mr. Chen, Dr. Coleman, Ms. Young Male student Lamar, Miguel, Manuel, Bill Female student Martina, Yoko, Lisa, Carmen Parent Dr. Murphy, Mrs. Collins, Mr. Rivera School board member Mr. Foster, Ms. Nelson, Dr. Chang Based on this list, how many ways are there to fill the five committee positions? Accesti
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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