A lottery will randomly choose a four digit number with the following procedure: 10 tiles each with the digit zero through nine is placed in a box. One tile will be drawn at random; this tile will be post to the side and will form the first digit of a number. A second tile will be drawn from the remaining tiles in the box; this one will be laid to the side and will be second digit. Continue until four digits have been chosen. how many four digit lottery numbers can one form this way?
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 lottery will randomly choose a four digit number with the following procedure: 10 tiles each with the digit zero through nine is placed in a box. One tile will be drawn at random; this tile will be post to the side and will form the first digit of a number. A second tile will be drawn from the remaining tiles in the box; this one will be laid to the side and will be second digit. Continue until four digits have been chosen.
how many four digit lottery numbers can one form this way?
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