A high school English teacher needs to cover the following topics during the semester. • poetry Shakespeare reading comprehension essay writing film studies short stories novel study The teacher has the flexibility on deciding what order they can teach the above topics.
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.
The number of different ways the English teacher can order these topics is
The number of different ways the English teacher can order these topics if reading comprehension must be taught first is
The number of different ways the English teacher can order these topics if either Shakespeare or short stories must be taught last is
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