The password consists of alphanumeric characters (i.e. letters or numbers) that distinguish between uppercase and lowercase letters. How many passwords using 6 characters are there, if we allow repetition? How many 6 character passwords are there if we further require that no c
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 password consists of alphanumeric characters (i.e. letters or numbers) that distinguish between uppercase and lowercase letters. How many passwords using 6 characters are there, if we allow repetition? How many 6 character passwords are there if we further require that no character is allowed to be used more than once?
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