To order a flavored latte at a coffee shop, you have to pick a size, a type of espresso, a type of milk, and a syrup flavor. A coffee shop has 3 sizes, 10 types of espresso, 7 types of milk, and 12 syrup flavors. How many different flavored lattes are possible?
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.
To order a flavored latte at a coffee shop, you have to pick a size, a type of espresso, a type of milk, and a syrup flavor. A coffee shop has 3 sizes, 10 types of espresso, 7 types of milk, and 12 syrup flavors. How many different flavored lattes are possible?
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