[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522720-105":59,"doc-detail-522720-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-practice-worksheet","Permutations - Practice worksheet","","Permutations practice focuses on listing all possible arrangements for given sets and evaluating permutation expressions. The worksheet includes tasks to list permutations for three numbers, combinations of three letters taken two at a time, and permutations of symbols taken two at a time. It also asks to evaluate expressions involving P notation, count unique permutations for specific words like DESIGN and CHEESE, and solve critical-thinking questions about determining words with a specified number of unique permutations and simplifying a factorial/permutation form.",{"@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-practice-worksheet/522720/",{"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-practice-worksheet/522720.png","ImageObject",300,407,{"name":92,"@type":93},"Jacob","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-22","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},"How do you list all possible permutations for the first item (1, 2, 3)?","Question",{"text":112,"@type":113},"List every ordering of the three numbers. The worksheet expects all 3! arrangements: 123, 132, 213, 231, 312, and 321.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does “taken two at a time” mean for the letter sets (e.g., T, V, W)?",{"text":117,"@type":113},"It means form ordered pairs using the letters without repeating a letter in the pair. The worksheet lists 2-letter permutations such as TV, VT, TW, VW, and so on.",{"name":119,"@type":110,"acceptedAnswer":120},"How do you find the number of unique permutations for a word like DESIGN or CHEESE?",{"text":121,"@type":113},"Use the permutation count based on the letters in the word. For words with all distinct letters (like DESIGN), use the factorial of the number of letters; for words with repeated letters (like CHEESE), divide by factorials of the repeated-letter counts.","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},522720,1791642566,{"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},962084931830,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Kuta Software-Infinite Algebra 2 Name   \n© 2 0 1 6p Knu t a S o fYt w a r e L L C . A l l r i g hjt s r e s e r v e d .  \nPermutations Date  Period   \nList all possible permutations.  \n1) 1, 2, 3 2) T, V, W, taken two at a time  \n3) ☺, ☼, ♥, ▲, taken two at a time 4) A, B, C, D  \nEvaluate each expression.  \n5) 􀀗P􀀕 6) 􀀘 P 􀀔  \n7) 􀀙P􀀕 8) 􀀙P􀀙  \n9) 􀀐􀀗 􀀎 􀀚 P􀀗 10) 􀀘 􀂘 􀀙P􀀘  \nFind the number of unique permutations ofthe letters in each word.  \n11) DESIGN 12) MATH  \n13) CHEESE 14) FURTHER  \n15) BALLISTICS 16) BILLIONAIRE  \nCritical thinking questions:  \n17) Write a word for which there are 30 18) Simplify xPx 􀀐 􀀕  \nunique permutations ofthe letters.  \n© 2p0 1 6 K u t a S o f t w a r e L L C . A l l r i g h t s r e s e r v eNd . M a d e w i t h I n f^i n ijt e A l g e b r a 2p.  \nKuta Software-Infinite Algebra 2 Name   \n© 2 0 1j6 K u tpa S o fRt w a r e L L C . A lpl r i g h t s r eNs e r v e d .  \nPermutations  \nList all possible permutations.  \nDate   \nPeriod   \n1) 1, 2, 3  \n123  \n132  \n213  \n231  \n312  \n321  \n2) T, V, W, taken two at a time  \nTV VT WT  \nTW VW WV  \n3) ☺, ☼, ♥, ▲, taken two at a time  \n☺☼  \n☺♥  \n☺▲  \n☼☺  \n☼♥  \n☼▲  \n♥☺  \n♥☼  \n♥▲  \n▲☺  \n▲☼  \n▲♥  \nEvaluate each expression.  \n5) 􀀗P􀀕 12  \n7) 􀀙P􀀕 30  \n4) A, B, C, D ABCDABDC ACBDACDBADBCADCB  \n6) 􀀘 P 􀀔 5  \n8) 􀀙P􀀙 720  \nBACD  \nBADC  \nBCAD  \nBCDA  \nBDAC  \nBDCA  \nCABD  \nCADB  \nCBAD  \nCBDA  \nCDAB  \nCDBA  \nDABC  \nDACB  \nDBAC  \nDBCA  \nDCAB  \nDCBA  \n9) 􀀐􀀗 􀀎 􀀚 P􀀗 10) 􀀘 􀂘 􀀙P􀀘  \n836 3,600  \nFind the number of unique permutations ofthe letters in each word.  \n11) DESIGN 720  \n13) CHEESE 120  \n15) BALLISTICS  \n453,600  \nCritical thinking questions:  \n17) Write a word for which there are 30 unique permutations ofthe letters.  \nLEVEL  \n12) MATH 24  \n14) FURTHER  \n2,520  \n16) BILLIONAIRE  \n3,326,400  \n18) Simplify xPx 􀀐 􀀕  \nx!􀀕  \n©j 2 0 1 6 K u t a S o fdt w a r e L L C . A ljl r i g h t s r e s e r v e d . M a d e w i t h I n fmi n i t e A l g e b r a 2 .","cbCaivWUyWzrO7ow","https://ap.wps.com/l/cbCaivWUyWzrO7ow","pdf",75070,"English","# List all possible permutations\n# Evaluate each expression\n# Unique permutations of letters in each word\n# Critical thinking questions","[{\"question\":\"How do you list all possible permutations for the first item (1, 2, 3)?\",\"answer\":\"List every ordering of the three numbers. The worksheet expects all 3! arrangements: 123, 132, 213, 231, 312, and 321.\"},{\"question\":\"What does “taken two at a time” mean for the letter sets (e.g., T, V, W)?\",\"answer\":\"It means form ordered pairs using the letters without repeating a letter in the pair. The worksheet lists 2-letter permutations such as TV, VT, TW, VW, and so on.\"},{\"question\":\"How do you find the number of unique permutations for a word like DESIGN or CHEESE?\",\"answer\":\"Use the permutation count based on the letters in the word. For words with all distinct letters (like DESIGN), use the factorial of the number of letters; for words with repeated letters (like CHEESE), divide by factorials of the repeated-letter counts.\"}]","Permutations - Practice worksheet | PDF",1791426094]