Before Stone takes over the world, he needs to hire 3 people to all be his personal chefs. Stone decides to select 3 such individuals from the 30 students in this stats class. A) In determining the number of ways Stone can select 3 out of the 30 students, would we use a permutation or combination? Explain your answer. B) Determine the number of ways Stone can select 3 out of the 30 students, staying consistent with your answer from part A. Your answer should be a WHOLE NUMBER ONLY.
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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