Sets can be written by description, roster, or set-builder notation. Write the given set in two alternative ways. Set-Builder; {x|x = 6n, n a counting number} Write out in words the description of the set. The set of ---Select--- , x, such that x is --Select--- v6. Write the set in roster form. (Enter only the first three values of this set.)
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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