[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-523017-105":59,"doc-detail-523017-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","permutations-vs-combinations-worksheets","Permutations vs Combinations - Worksheets","","Practice worksheet on permutations versus combinations, asking students to classify each scenario and then compute the number of possibilities. Scenarios include choosing captains and team members, planning trips and skipping countries, determining batting and applicant selection outcomes, calculating handshake counts, counting races with finalists and medalists, and working with a three-digit combination lock. Includes provided answers for selected items, supporting independent problem-solving and review.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/permutations-vs-combinations-worksheets/523017/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/permutations-vs-combinations-worksheets/523017.png","ImageObject",300,407,{"name":92,"@type":93},"Đào","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-16","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":29},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is the task of the worksheet?","Question",{"text":112,"@type":113},"For each scenario, determine whether it represents a permutation or a combination, then find the number of possibilities.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do the scenarios use permutations versus combinations?",{"text":117,"@type":113},"The worksheet contrasts situations where order matters (permutations) versus situations where order does not matter (combinations), such as team selection, trip decisions, and selecting lock numbers.",{"name":119,"@type":110,"acceptedAnswer":120},"What kind of real-world problems are included?",{"text":121,"@type":113},"It includes sports lineups and batting orders, choosing applicants for jobs, selecting finalists and medal winners in races, calculating handshake counts, and choosing numbers for a combination lock.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},523017,1791506030,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":29,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":24,"preview_page_count":4},1374402968488,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Kuta Software-Infinite Geometry Name   \nPermutations vs Combinations Date  Period   \nState if each scenario involves a permutation or a combination.  \n1) A team of 8 basketball players needs to 2) Rob and Mary are planning trips to nine  \nchoose a captain and co-captain. countries this year. There are 13 countries  \nthey would like to visit. They are deciding which countries to skip.  \n3) The batting order for seven players on a 12 4) There are 45 applicants for three Computer person team. Programmer positions.  \nState if each scenario involves a permutation or a combination. Then find the number of possibilities.  \n5) Castel and Joe are planning trips to three 6) There are 110 people at a meeting. They  \ncountries this year. There are 7 countries each shake hands with everyone else. How  \nthey would like to visit. One trip will be many handshakes were there?  \none week long, another two days, and the other two weeks.  \n7) You are setting the combination on a 8) A group of 25 people are going to run a  \nthree-digit lock. You want to use the race. The top 8 finishers advance to the  \nnumbers 123 but don't care what order they finals.  \nare in.  \n9) A team of 17 softball players needs to 10) 5 out of 13 students will ride in a car  \nchoose three players to refill the water instead of a van  \ncooler.  \n11) The student body of 10 students wants to 12) Selecting which seven players will be in the elect a president, vice president, secretary, batting order on a 11 person team. and treasurer.  \n13) There are 15 applicants for four jobs: 14) A group of 45 people are going to run a Computer Programmer, Software Tester, race. The top three runners earn gold, Manager, and Systems Engineer. silver, and bronze medals.  \nKuta Software-Infinite Geometry Name   \nPermutations vs Combinations Date  Period   \nState if each scenario involves a permutation or a combination.  \n1) A team of 8 basketball players needs to 2) Rob and Mary are planning trips to nine  \nchoose a captain and co-captain. countries this year. There are 13 countries  \nPermutation they would like to visit. They are deciding  \nwhich countries to skip.  \nCombination  \n3) The batting order for seven players on a 12 4) There are 45 applicants for three Computer person team. Programmer positions.  \nPermutation Combination  \nState if each scenario involves a permutation or a combination. Then find the number of possibilities.  \n5) Castel and Joe are planning trips to three countries this year. There are 7 countries they would like to visit. One trip will be one week long, another two days, and the other two weeks.  \nPermutation; 210  \n7) You are setting the combination on a three-digit lock. You want to use the numbers 123 but don't care what order they are in.  \nPermutation; 6  \n9) A team of 17 softball players needs to choose three players to refill the water cooler.  \nCombination; 680  \n6) There are 110 people at a meeting. They each shake hands with everyone else. How many handshakes were there?  \nCombination; 5,995  \n8) A group of 25 people are going to run a race. The top 8 finishers advance to the finals.  \nCombination; 1,081,575  \n10) 5 out of 13 students will ride in a car instead of a van  \nCombination; 1,287  \n11) The student body of 10 students wants to elect a president, vice president, secretary, and treasurer.  \nPermutation; 5,040  \n13) There are 15 applicants for four jobs: Computer Programmer, Software Tester, Manager, and Systems Engineer.  \nPermutation; 32,760  \n12) Selecting which seven players will be in the batting order on a 11 person team.  \nCombination; 330  \n14) A group of 45 people are going to run a race. The top three runners earn gold, silver, and bronze medals.  \nPermutation; 85,140  \nCreate your own worksheets like this one with Infinite Geometry. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiaKIewTelGT6","https://ap.wps.com/l/cbCaiaKIewTelGT6","pdf",14280,"English","# State Permutation vs Combination\n## Classify each scenario\n## Find the number of possibilities","[{\"question\":\"What is the task of the worksheet?\",\"answer\":\"For each scenario, determine whether it represents a permutation or a combination, then find the number of possibilities.\"},{\"question\":\"How do the scenarios use permutations versus combinations?\",\"answer\":\"The worksheet contrasts situations where order matters (permutations) versus situations where order does not matter (combinations), such as team selection, trip decisions, and selecting lock numbers.\"},{\"question\":\"What kind of real-world problems are included?\",\"answer\":\"It includes sports lineups and batting orders, choosing applicants for jobs, selecting finalists and medal winners in races, calculating handshake counts, and choosing numbers for a combination lock.\"}]","Permutations vs Combinations - Worksheets | PDF",1791426409]