How many different 5-letter radio station call letters can be made a. d the first letter must be C, W. or Q and no letter may be repeated? b. f repeats are allowed (but the first letter is C, W, or Q)? c. How many of the 5-letter radio station call letters (starting with C. W or Q) have no repeats and end with the letter J? a. the first letter must be C, W, or Q, and all the letters in the radio station call letters must be different, then there are 5-letter radio station call letters.
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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