When playing bingo, 100 balls are placed in a bin and balls are selected at random. Each ball is marked with a letter and number as indicated in the chart below. Fo example, there are balls marked B1, B2, up to B20; 121, 122, up to 140; and so on. Assume one bingo ball is selected at random. N G 1- 20 21- 40 41 - 60 61- 80 81 - 100 What are the odds against it being 123? Simplify your answer.)
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.
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