The identification code on a bank card consists of 1 digit followed by 2 letters. The code must meet the following conditions: The digit must be odd. The letters A, E, I, O, and U cannot be used. Letters cannot be used more than once.
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.
1.) The identification code on a bank card consists of 1 digit followed by 2 letters. The code must meet the following conditions:
- The digit must be odd.
- The letters A, E, I, O, and U cannot be used.
- Letters cannot be used more than once.
2.) How many different 3-digit numbers are possible using only the digits 1,5,6,7,8 ?
How many different 3-digit numbers are possible using only the digits 1,5,6,7,8, if repetition of digits is not allowed?
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