During the fall semester a school is offering science courses in physics, biology, and chemistry, and humanities courses in European history, economics, art history, and world history.
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.
During the fall semester a school is offering science courses in physics, biology, and chemistry, and humanities courses in European history, economics, art history, and world history. How many ways can a student choose 4 courses to take if they may choose at most 2 science courses?
It is given that there are science courses in physics, biology, and chemistry, and humanities courses in European history, economics, art history, and world history.
No. of science courses= 3 and
No. of humanities course = 4
Total no. of courses= 3+4 =7
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