1. If your school cafeteria offers pork, beef, chicken, and fish for the main dish; chopsuey, pinakbet, and black beans for vegetable dishes: banana and pineapple for dessert; and tea, juice, and soft drinks for beverage, in how many ways can yOu choose your meal consisting of one cup of rice, on main dish, one vegetable dish, one beverage, and one dessert?
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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