GeomS2_-_M12L07_(H)_Study_Sheet_ - Name: Abad, Charmaine...

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Name: Abad, CharmaineModule:12Geometry Study SheetLesson:7 (H)Title:CombinationsObjective(s)Today I will:9.1H:Understand set theory using models such astwo-way tables, Venn diagrams, tree diagrams, andalso include the use of permutations andcombinations.9.2H:Calculate probabilities of subsets of a samplespace including unions, intersections, complements,and compound events.EssentialQuestion:How are setsand theirrelationshipsused tocalculateprobabilities?
Determine the number of combinations of nobjects taken r at a time.Use combinations and permutations to calculateprobability.Warm-Up#1:Calculate the number of permutations of the set {P, Q, R, S} if two elements are taken at a time.
#2:List all the permutations of the set {P, Q, R, S} if two elements are taken at a time.
VocabularyTermDefinitionExampleCombinationAn arrangement of objects in whichPQ, PR, PS, QR, QS, RS
order is not importantnCr= n!/r!(n-r)!“You Try” Example from the LessonEx 1:The ten members of the math club want to choose a president, vice-president, and a treasurer.Howmany combinations are possible?

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Term
Spring
Professor
Lauren Root
Tags
Combinatorics, Set Theory, Probability theory

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