[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-523013-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-523013-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","permutations-geometry-practice-worksheet","Permutations - Geometry Practice Worksheet","","This document provides a comprehensive geometry practice worksheet focused on the mathematical concept of permutations. It includes exercises for listing all possible permutations of sets, evaluating permutation expressions (nPr), and calculating the number of unique permutations for specific words containing repeated letters. The resource concludes with critical thinking questions designed to test deeper understanding of the subject, making it an essential tool for high school geometry students to master counting principles and combinatorial analysis.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/permutations-geometry-practice-worksheet/523013/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/permutations-geometry-practice-worksheet/523013.png","ImageObject",300,407,{"name":42,"@type":43},"Đào","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-29","2026-10-08",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",7,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you calculate the number of unique permutations for a word like 'CHEESE'?","Question",{"text":63,"@type":64},"You divide the factorial of the total number of letters by the factorials of the counts of each repeated letter. For 'CHEESE', it is 6! / 3! = 120.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What is the result of 9P5?",{"text":68,"@type":64},"The value of 9P5 is 15,120, calculated as 9 × 8 × 7 × 6 × 5.",{"name":70,"@type":61,"acceptedAnswer":71},"How are permutations different when objects are taken two at a time?",{"text":72,"@type":64},"When taking items two at a time, the order of selection matters, so for a set like {T, V, W}, the permutations include pairs like TV, VT, WT, TW, VW, and WV.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},523013,1791497501,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":96,"preview_page_count":4},1374402968488,"https://ap-avatar.wpscdn.com/davatar_29158cc5080c5b710cf443261637dec0","Kuta Software-Infinite Geometry Name   \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 xP􀀕 unique permutations ofthe letters.  \nKuta Software-Infinite Geometry Permutations  \nList all possible permutations.  \n1) 1, 2, 3  \n123  \n132  \n213  \n231  \n312  \n321  \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  \nName  Date  Period   \n2) T, V, W, taken two at a time  \nTV VT WT  \nTW VW WV  \n4) A, B, C, D ABCDABDC ACBDACDBADBCADCB  \n6) 􀀘 P 􀀔 5  \nBACD  \nBADC  \nBCAD  \nBCDA  \nBDAC  \nBDCA  \nCABD  \nCADB  \nCBAD  \nCBDA  \nCDAB  \nCDBA  \nDABC  \nDACB  \nDBAC  \nDBCA  \nDCAB  \nDCBA  \n8) 􀀙P􀀙 720  \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 xP􀀕  \nx(x 􀀐 􀀔)  \nCreate your own worksheets like this one with Infinite Geometry. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaihKjIUPRsZZn","https://ap.wps.com/l/cbCaihKjIUPRsZZn","pdf",72880,"English","# Exercises\n## Listing Permutations\n## Evaluating Expressions\n## Unique Word Permutations\n## Critical Thinking Questions","[{\"question\":\"How do you calculate the number of unique permutations for a word like 'CHEESE'?\",\"answer\":\"You divide the factorial of the total number of letters by the factorials of the counts of each repeated letter. For 'CHEESE', it is 6! / 3! = 120.\"},{\"question\":\"What is the result of 9P5?\",\"answer\":\"The value of 9P5 is 15,120, calculated as 9 × 8 × 7 × 6 × 5.\"},{\"question\":\"How are permutations different when objects are taken two at a time?\",\"answer\":\"When taking items two at a time, the order of selection matters, so for a set like {T, V, W}, the permutations include pairs like TV, VT, WT, TW, VW, and WV.\"}]","Permutations - Geometry Practice Worksheet | PDF",1791426405]