Kathy is deciding on her schedule for next semester. She must take each of the following classes: English 101, Music 101, Biology 102 and Math 120. If there are 15 sections of English 101, 10 sections of Music 101, 13 sections of Biology 102, and 14 sections of Math 120. how many different possible schedules are there for Kathy to choose from. Assume there are no time conflicts between the different classes
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.
Kathy is deciding on her schedule for next semester. She must take each of the following classes: English 101, Music 101, Biology 102 and Math 120. If there are 15 sections of English 101, 10 sections of Music 101, 13 sections of Biology 102, and 14 sections of Math 120. how many different possible schedules are there for Kathy to choose from. Assume there are no time conflicts between the different classes
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