Many states have a lottery game, usually called Pick-4, in which you pick a four-digit number such as 7359. During the lottery drawing, there are four bins, each containing balls numbered 0 throug 9. One ball is drawn from each bin to form the four gigit winning number. There are many variations of this game. The primary variation allows you to win if the four digits in your numuber are selected in any order as long as they are the same four digits as obtained by the lottery agency. For example, if you pick four digits makng the number 1265, then you will win if 1265, 2615, 5216, 6521, and so forth, are drawn, The variations of lottery game depend on how many unique digits are in your umber. Consider the following four different versions of this game. Find the proability: 4) One digit appears three times
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.
Many states have a lottery game, usually called Pick-4, in which you pick a four-digit number such as 7359. During the lottery drawing, there are four bins, each containing balls numbered 0 throug 9. One ball is drawn from each bin to form the four gigit winning number.
There are many variations of this game. The primary variation allows you to win if the four digits in your numuber are selected in any order as long as they are the same four digits as obtained by the lottery agency. For example, if you pick four digits makng the number 1265, then you will win if 1265, 2615, 5216, 6521, and so forth, are drawn, The variations of lottery game depend on how many unique digits are in your umber. Consider the following four different versions of this game. Find the proability:
4) One digit appears three times
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