[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522721-105":59,"doc-detail-522721-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-worksheet-practice","Permutations vs Combinations - Worksheet Practice","","Worksheet practice for Infinite Algebra 2 on permutations and combinations. Students classify each scenario as a permutation or a combination, then compute the number of possibilities for problems involving team captain selection, trip planning choices, batting and player orderings, application counts, handshakes in a meeting, race advancement rankings, lock settings, group selections, and job assignments with specified roles. Includes example answers such as 210, 6, 680, and 85,140 to reinforce correct counting methods.",{"@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-worksheet-practice/522721/",{"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-worksheet-practice/522721.png","ImageObject",300,407,{"name":92,"@type":93},"Jacob","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-08","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you decide whether a scenario is a permutation or a combination?","Question",{"text":112,"@type":113},"Permutation applies when order matters, such as batting order or ordered positions. Combination applies when order does not matter, such as choosing a set of people or items without regard to arrangement.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of problems are included in this worksheet?",{"text":117,"@type":113},"It includes scenarios about choosing team captains, planning trips to countries, arranging batting orders, selecting applicants for jobs, counting handshakes, and determining race advancement and medal outcomes.",{"name":119,"@type":110,"acceptedAnswer":120},"How are the number of possibilities found after classification?",{"text":121,"@type":113},"After labeling each scenario as permutation or combination, students use the appropriate counting method to calculate the total arrangements or selections that satisfy the given constraints.","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},522721,1791512776,{"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":39,"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},962084931830,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Kuta Software-Infinite Algebra 2 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  \npossibilities.  \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 Algebra 2 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  \npossibilities.  \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 Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaitQGCd6rTpJ2","https://ap.wps.com/l/cbCaitQGCd6rTpJ2","pdf",14292,"English","# State Permutation vs Combination\n## Determine the Number of Possibilities","[{\"question\":\"How do you decide whether a scenario is a permutation or a combination?\",\"answer\":\"Permutation applies when order matters, such as batting order or ordered positions. Combination applies when order does not matter, such as choosing a set of people or items without regard to arrangement.\"},{\"question\":\"What types of problems are included in this worksheet?\",\"answer\":\"It includes scenarios about choosing team captains, planning trips to countries, arranging batting orders, selecting applicants for jobs, counting handshakes, and determining race advancement and medal outcomes.\"},{\"question\":\"How are the number of possibilities found after classification?\",\"answer\":\"After labeling each scenario as permutation or combination, students use the appropriate counting method to calculate the total arrangements or selections that satisfy the given constraints.\"}]","Permutations vs Combinations - Worksheet Practice | PDF",1791426095]