A class of 40 students complete a survey on what pet they like. The choices were: cats, dogs and birds. Everyone liked at least one pet. 28 student like cats, 15 students liked birds, 19 students like dogs, 12 students liked cats and birds, 8 students liked cats and dogs, and 4 students liked dogs and birds. With the aid of a venn diagram, how many students like all the three pets
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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