a code word is either a sequence of three letters followed by two by two digits or two letters followed by three digits. (Unless otherwise indicated, letters will mean upper case letters are chosen from the usual 26 letter alphabet and digits are selected from {0,1,2,3,4,5,l6,7,8,9}). how many different code words are possible.
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.
a code word is either a sequence of three letters followed by two by two digits or two letters followed by three digits. (Unless otherwise indicated, letters will mean upper case letters are chosen from the usual 26 letter alphabet and digits are selected from {0,1,2,3,4,5,l6,7,8,9}). how many different code words are possible.
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