A student planning her curriculum for the upcoming year must select one of seven business courses, one of five mathematics courses, two of seven elective courses, and either one of two history courses or one of two social science courses. How many different curricula are available for her consideration?
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.
A student planning her curriculum for the upcoming year must select one of seven business courses, one of five mathematics courses, two of seven elective courses, and either one of two history courses or one of two social science courses. How many different curricula are available for her consideration?
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