19.) A teacher has a class of 25 students and must choose three of them to compete in the school spelling bee. How many different ways could the group of three students be chosen? С.) A.)75 13,800 B.) 2,300 D.) 15,625 20.) Suppose you have five shirts, three pairs of pants, and four pairs of shoes. How many ways can you get dressed if you choose one shirt, one pair of pants, and one pair of shoes to wear? В.) 60 Đ}17,280 А.) 12 C.) 120
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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