Letters are used in code groups of five to identify a SKU for an item. Code ABCDE might identify an electronic device. Repetitions of numbers are not permitted. i.e., the same letter cannot be used more than once in a given sequence. As examples, AAABB, CCCCA, or EEEBB would not be permitted. How many different codes can be designed?
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.
Letters are used in code groups of five to identify a SKU for an item. Code ABCDE might identify an electronic device. Repetitions of numbers are not permitted. i.e., the same letter cannot be used more than once in a given sequence. As examples, AAABB, CCCCA, or EEEBB would not be permitted. How many different codes can be designed?
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