A female executive selecting her wardrobe purchased three blazers, three blouses, and two skirts in coordinating colors. How many ensembles consisting of a blazer, a blouse, and a skirt can she create from this collection? ensembles A new state employee is offered a choice of nine basic health plans, five dental plans, and three vision care plans. How many different health-care plans are there to choose from if one plan is selected from each category? different plans
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.
A female executive selecting her wardrobe purchased three blazers, three blouses, and two skirts in coordinating colors. How many ensembles consisting of a blazer, a blouse, and a skirt can she create from this collection?
ensembles
A new state employee is offered a choice of nine basic health plans, five dental plans, and three vision care plans. How many different health-care plans are there to choose from if one plan is selected from each category?
different plans
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