Alex wants to choose 12 cookies to eat from a package. There are 7 different varieties of cookies to choose from. Assume that there are at least 12 cookies of each variety available. Also, assume that the order in which Alex chooses the cookies does not matter, only how many of each kind of cookie matters. How many ways are there of choosing 12 cookies?
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.
Alex wants to choose 12 cookies to eat from a package. There are 7 different varieties of cookies to choose from. Assume that there are at least 12 cookies of each variety available. Also, assume that the order in which Alex chooses the cookies does not matter, only how many of each kind of cookie matters.
How many ways are there of choosing 12 cookies?
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