The Mars company offers customers the opportunity to create their own color mix of M&M’s candy. There are 21 colors to choose from, and customers are allowed to select 6 different colors. How many different color mixes are possible, assuming no color is selected more than once.
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.
The Mars company offers customers the opportunity to create their own color mix of M&M’s candy. There are 21 colors to choose from, and customers are allowed to select 6 different colors. How many different color mixes are possible, assuming no color is selected more than once.
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