The Computer Science department has offered 33 courses in fall 2022. So, How many ways can a student choose 3 courses out of 33, also how many ways can you form a 3-letter word in English? A new airline company wants to operate non-stop (two-way) flights between x_value major cities. What is the total number of flights the company needs for this operation?
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 Computer Science department has offered 33 courses in fall 2022. So, How many ways can a student choose 3 courses out of 33, also how many ways can you form a 3-letter word in English?
A new airline company wants to operate non-stop (two-way) flights between x_value major cities. What is the total number of flights the company needs for this operation?
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