S.P.1.3
Use counting techniques (e.g., permutations and combinations) to solve mathematical and real-world problems, including determining probabilities of compound events.
Example Problems
How many unique ways are there to arrange the letters in the word BALLOON?
How many unique ways are there to arrange the letters in the word COMMITTEE?
How many numbers between 1 and 100 (inclusive) are divisible by 4 or 5?
Khan Academy ResourcesTree diagrams and conditional probabilityPermutationsCombinationsProbability with permutations and combinationsConditional probability with Bayes' TheoremProbability using combinationsWays to arrange colorsWays to pick officersCombination example: 9 card handsExample: Lottery probabilityExample: Different ways to pick officersMega millions jackpot probabilityProbability with combinations example: choosing groupsPermutation formulaCombination formulaProbability with permutations & combinations example: taste testingPossible three letter wordsHandshaking combinationsProbability with combinations example: choosing cardsFactorial and counting seat arrangementsZero factorial or 0!Intro to combinationsConditional probability tree diagram example
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