Example: A vet surveys 100 of her clients. She finds that: 25 own dogs, 15 own dogs and cats, 11 own dogs and tropical fish, 36 own cats, 10 own cats and tropical fish, 7 own dogs, cats and tropical fish, 27 own tropical fish. Fill in this Venn Diagram, and hence answer the following questions: a) P(own dogs only), P(own cats only) b) P(does not own tropical fish) c) P(does own dogs, cats, or tropical fish), and not
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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