For a daily lottery, a personselectsa three-digit number. If the person plays for$1,she can win $500. Find the expectation. In the samedaily lottery, if a person boxes a number, she will win$80. Find the expectation if the number 123 is playedfor $1 and boxed. (When a number is “boxed,” it can win when the digits occur in any ord
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.
For a daily lottery, a personselectsa three-digit number. If the person plays for$1,she can win $500. Find the expectation. In the samedaily lottery, if a person boxes a number, she will win$80. Find the expectation if the number 123 is playedfor $1 and boxed. (When a number is “boxed,” it can win when the digits occur in any order.
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