2. At a certain company, access codes nust pe 4 composed of the 26 lower case letters of the alphabet and the ten digits 0-9. a) How many access codes are possible if repetition of symbols is allowed?
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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At a certain company, access codes must be 4 to 6 symbols long and
composed of the 26 lower case letters of the alphabet and the ten digits 0-9.
(a) How many access codes are possible if repetition of symbols is allowed?
(b) How many access codes contain no repeated symbol?
(c) How many access codes contain at least one repeated symbol?"
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