Mathematics
High School (11–12)
Algebra › Permutations and CombinationsChapter 4Contains Standard contentPermutations and Combinations
How many number plates can a state issue? In how many ways can a team of five be chosen from twelve players? Listing every case would take forever, so mathematicians count cleverly. In this chapter you learn the fundamental principle of counting, factorials, permutations when order matters and combinations when it does not. Python lists small cases so you can check every formula before you trust it.
Part of Mathematics · High School (11–12) (chapter 4)
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The Fundamental Principle of Counting
Count choices made one after another with the multiplication principle, separate cases with the addition principle, and meet the factorial.
Permutations
Arrangements when order matters: the formula for nPr, arrangements with repeated objects, and arrangements under conditions such as letters that must stay together.