Permutations vs Combinations

1 [ I2K0j1]5X bKPuftday FSqocfitmw`ayr`ej BLLLxCR.\ P GAylWla Crfirg]hOtasz c WMQaKdOex ewDiXtThY nIKnRfTiinniBtzeh jAzl^gxe]b`r]a\ by Kuta Software LLCKuta Software - Infinite Algebra 2 Permutations vs CombinationsName_____Date_____ Period____State if each scenario involves a permutation or a ) A team of 8 basketball players needs tochoose a captain and ) Rob and Mary are planning trips to ninecountries this year. There are 13 countriesthey would like to visit. They are decidingwhich countries to ) The batting order for seven players on a 12person ) There are 45 applicants for three ComputerProgrammer if each scenario involves a permutation or a combination. Then find the number ) Castel and Joe are planning trips to threecountries this year. There are 7 countriesthey would like to visit. One trip will beone week long, another two days, and theother two ) There are 110 people at a meeting.

2 Theyeach shake hands with everyone else. Howmany handshakes were there?7) You are setting the combination on athree-digit lock. You want to use thenumbers 123 but don't care what order theyare ) A group of 25 people are going to run arace. The top 8 finishers advance to ) A team of 17 softball players needs tochoose three players to refill the ) 5 out of 13 students will ride in a carinstead of a van11) The student body of 10 students wants toelect a president, vice president, secretary,and ) Selecting which seven players will be in thebatting order on a 11 person ) There are 15 applicants for four jobs:Computer Programmer, Software Tester,Manager, and Systems ) A group of 45 people are going to run arace. The top three runners earn gold,silver, and bronze medals. f T2^0p1K5a PKlustuaq TSkoSfztDwAagrHex qLMLUC^.o q AAtlGlx IrKiWgkh`ttsA urGe[ k ^MRaqdbe\ iwFintWhq DIdneftihnwi^tset [ASlhgkefbArvad by Kuta Software LLCKuta Software - Infinite Algebra 2 Permutations vs CombinationsName_____Date_____ Period____State if each scenario involves a permutation or a ) A team of 8 basketball players needs tochoose a captain and ) Rob and Mary are planning trips to ninecountries this year.]]

3 There are 13 countriesthey would like to visit. They are decidingwhich countries to ) The batting order for seven players on a 12person ) There are 45 applicants for three ComputerProgrammer if each scenario involves a permutation or a combination. Then find the number ) Castel and Joe are planning trips to threecountries this year. There are 7 countriesthey would like to visit. One trip will beone week long, another two days, and theother two ; 2106) There are 110 people at a meeting. Theyeach shake hands with everyone else. Howmany handshakes were there?Combination; 5,9957) You are setting the combination on athree-digit lock. You want to use thenumbers 123 but don't care what order theyare ; 68) A group of 25 people are going to run arace. The top 8 finishers advance to ; 1,081,5759) A team of 17 softball players needs tochoose three players to refill the ; 68010) 5 out of 13 students will ride in a carinstead of a vanCombination; 1,28711) The student body of 10 students wants toelect a president, vice president, secretary,and ; 5,04012) Selecting which seven players will be in thebatting order on a 11 person ; 33013) There are 15 applicants for four jobs:Computer Programmer, Software Tester,Manager, and Systems ; 32,76014) A group of 45 people are going to run arace.

4 The top three runners earn gold,silver, and bronze ; 85,140 Create your own worksheets like this one with Infinite Algebra 2. Free trial available at