The following list shows the preferences of 104 people at a meeting: 98 like tea 97 like coffee 99 like hot chocolate 95 like tea and coffee 94 like coffee and hot chocolate 96 like tea and hot chocolate 93 like all three а) Among those people, how many people like none of the three? b) How many people like exactly two beverages?
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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