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each scenario involves a permutation or a combination.  \n1) Mofor and Darryl are planning trips to ten 2) A team of 13 basketball players needs to  \ncountries this year. There are 14 countries choose a captain and co-captain.  \nthey would like to visit. They are deciding which countries to skip.  \n3) The batting order for ten players on a 11 4) A group of 35 people are going to run a  \nperson team. race. The top 7 finishers advance to the  \nfinals.  \nState if each scenario involves a permutation or a combination. Then find the number of  \npossibilities.  \n5) Selecting which seven players will be in 6) There are 15 applicants for two Manager the batting order on a 8 person team. positions.  \n7) You are setting the combination on a 8) 3 out of 15 students will ride in a car five-digit lock. You want to use the instead of a van  \nnumbers 62413 but don't care what order they are in.  \n9) A team of 12 dodgeball players needs to 10) There are 60 people at a meeting. They  \nchoose a captain and co-captain. each give a Valentine's Day card to  \neveryone else. How many cards were given?  \n11) There are 30 students at a meeting. They 12) Carlos has homework assignments in six  \neach give a Valentine's Day card to subjects. He only has time to do four of  \neveryone else. How many cards were them.  \ngiven?  \n13) A group of 20 people are going to run a 14) There are 190 politicians at a meeting.  \nrace. The top three runners earn gold, They each shake hands with everyone else.  \nsilver, and bronze medals. How many handshakes were there?  \nKuta Software-Infinite Precalculus Name   \nPermutations vs Combinations Date  Period   \nState if each scenario involves a permutation or a combination.  \n1) Mofor and Darryl are planning trips to ten countries this year. There are 14 countries they would like to visit. They are deciding which countries to skip.  \nCombination  \n3) The batting order for ten players on a 11 person team.  \nPermutation  \n2) A team of 13 basketball players needs to choose a captain and co-captain.  \nPermutation  \n4) A group of 35 people are going to run a race. The top 7 finishers advance to the finals.  \nCombination  \nState if each scenario involves a permutation or a combination. Then find the number of  \npossibilities.  \n5) Selecting which seven players will be in the batting order on a 8 person team.  \nCombination; 8  \n7) You are setting the combination on a five-digit lock. You want to use the numbers 62413 but don't care what order they are in.  \nPermutation; 120  \n6) There are 15 applicants for two Manager positions.  \nCombination; 105  \n8) 3 out of 15 students will ride in a car instead of a van  \nCombination; 455  \n9) A team of 12 dodgeball players needs to choose a captain and co-captain.  \nPermutation; 132  \n11) There are 30 students at a meeting. They each give a Valentine's Day card to everyone else. How many cards were given?  \nPermutation; 870  \n13) A group of 20 people are going to run a race. The top three runners earn gold, silver, and bronze medals.  \nPermutation; 6,840  \n10) There are 60 people at a meeting. They each give a Valentine's Day card to everyone else. How many cards were given?  \nPermutation; 3,540  \n12) Carlos has homework assignments in six subjects. He only has time to do four of them.  \nCombination; 15  \n14) There are 190 politicians at a meeting. They each shake hands with everyone else. How many handshakes were there?  \nCombination; 17,955  \nCreate your own worksheets like this one with Infinite Precalculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaibp5jBq604og","https://ap.wps.com/l/cbCaibp5jBq604og","pdf",14416,"English","# Permutations vs Combinations\n## Identify each scenario\n## Count the number of possibilities","[{\"question\":\"How do you decide whether a scenario is a permutation or a combination?\",\"answer\":\"Use order as the key: permutations involve arrangements where order matters, while combinations involve selections where order does not matter.\"},{\"question\":\"What types of problems are included in the worksheet?\",\"answer\":\"The worksheet includes team captain selection, batting order, race advancement with top finishers, five-digit lock digit choices, and counting Valentine’s Day cards or handshakes.\"},{\"question\":\"What is required after classifying each scenario?\",\"answer\":\"After labeling each as a permutation or combination, students find the total number of possible outcomes for that scenario.\"}]","Permutations vs Combinations - Permutations and Combinations Worksheet | PDF",1791427017]