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MA THERIATICS REVIEWER GRADE WW -T DOU ARTER By: Ay Sahagun & Danielle Roberta THE FUNDAMENTAL COUNTING PRINCIPLE? FUNDAMENTAL PRINCIPLE OF COUNTING Fuodamenotal Couotiog Priociple - Let Event 1 and Event 2 be lwo evenie. IF Lhe firelevenican occur in wm different ware and afler firel event bag occurred, second evenl can occur io ou different waye, Lbeo Logelber Lhe evenle can occur in fm}in) differonl ways. (A seutoing Lbal orenl Zig pol influenced by event 1) *Thieie amply coulliplyiog tbe evenle elated Example: How many different paireof lettere Provo tbe Englieh alpbabet are poeeible? Solution: The alphabet conlaine 24 letters. So, lbe number of two letter words thal can be Pormoed ie {26) (25). - There are 676 different paire of letters. Apalber example: Taryo bar Five different ekirle, Pour chfferent tope aod three paire of ebore. Aeeuming tbat all tbe colours cotoplement each olber, bow taney different oulFile can ebe pul logelber? Solution: Using the FCP, multiply 3,4, snd Logetber: {S}(4(2) - Sbecan pul éd differeot outhita There are olber waye lo gel tbe number of porcible oulcomes if ibere are only few eovenls, Thess arc tree diagram, sample apace aod table of outcomes. Note: Theee are applicable ifandouly iftbere are Four events. Given Problem: Suppose you bave a black ebirl, a brown ebirl, anda while ebirt, and you alec bave a pair of jeane anda pair of black panle. How many poegible oulfile can you make? *Ueing tbe PCP, we can cimply wulliply 3 and 2. We vill gel &. But let ue ues olber meibode. 1. Tree Diagram - A teee diagram ig a wieual way lo represent ibe tolal oulcomeEe you could bare. 2. Sample Space - Sample epace can be Helted. The eacmple epace for tbe oulfile ig PBlack Shirt Black Paule, Black Shirl Joane, Brown Shirt Black Panle, Brown Shirl Jeane, White Shirt Black Panle, White Shirl Jeane} Ae you can geo, lbere are & combinations lieted becauee ibere are § lolal poegible SULCOTHEE 3. Table of outcomes - A table of puteomes ie a lable abere ibe Firel row and Firet col uma repreeent tbe porgible ouicomer in cach event For ielanes, tbe Firel columo would be each ebirl, and ibe Fire row would beeach pairof pale. Then we gimply fll io the lable wath tbe poe ble outcomes BlackPants | Jeans Bla Brown Shirt | Brown Shirt Black Pants. Jeans White Shirt = | White Shirt Black Pants. Jeans White Shirt 
