A department store wants to send codes for $15 off a $75 purchase to the subscribers of its e-mail list. The coupon code will have three letters, followed by one digit, followed by one letter. The letters P , Q , and R will not be used. So, there are 23 letters and 10 digits that will be used. Assume that the letters can be repeated. How many such coupon codes can be generated?
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 department store wants to send codes for
off a
purchase to the subscribers of its e-mail list. The coupon code will have three letters, followed by one digit, followed by one letter. The letters
,
, and
will not be used. So, there are
letters and
digits that will be used. Assume that the letters can be repeated. How many such coupon codes can be generated?
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