A password is to be made from a string of five characters chosen from the lowercase letters of the alphabet and the numbers 0 through 9. (a) How many passwords are possible if there are no restrictions? passwords (b) How many passwords are possible if the characters must alternate between letters and numbers? passwords
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.
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A password is to be made from a string of five characters chosen from the lowercase letters of the alphabet and the numbers 0 through 9.
passwords
(b) How many passwords are possible if the characters must alternate between letters and numbers?
passwords
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