Ferrari offers their customers the options to pick custom selections for their cars for which the selection is claimed to be over a million combinations to pick from. For exterior paint customers are offered to choose from 18 paint colors, for interior upholstery 2 options for material and 14 for colors, tire can be selected from a list of 15 tread combinations with 30 rim designs and 3 engine combinations with option to add turbo to it as well, they can choose the option to purchase the car on cash or financing options. Is the claim of Ferrari is verified or not? How many options can the customers choose for the car?
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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