150 customers are selected at random to answer a survey regarding their favourite donut franchise in a shopping mall. From the survey, 83 of them like Big Orange, 68 like Crunchy Crème and 33 of them like Dipping Donut. If 21 of them like Big Orange and Crunchy Crème, 10 like Big Orange and Dipping Donut, and 12 customers like Crunchy Crème and Dipping Donut, calculate a) the total number of customers who like either Big Orange or Crunchy Crème. b) the total number of customers who dislike Crunchy Crème or Dipping Donut.
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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