There are many choices to make when buying a new car. For a specific model of a new car, choices are available, among others, for roof (3), exterior color (12), seat fabric/color (4), interior trim (5), and wheels (5). How many possibilities are there altogether, taking into account choices for the five aforementioned items?
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.
There are many choices to make when buying a new car. For a specific model of a new car, choices are available, among others, for roof
exterior color
seat fabric/color
interior trim
and wheels
How many possibilities are there altogether, taking into account choices for the five aforementioned items?
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