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It features a series of exercises ranging from listing all possible combinations for small sets to evaluating complex numerical combination expressions. The document is designed to reinforce the conceptual understanding of selection processes and combinatorial identity. It provides clear, step-by-step problem statements followed by detailed solutions, making it an ideal study aid for self-assessment and classroom practice in mathematics.",{"@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/worksheets-combinations-practice-exercises/523560/",{"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/worksheets-combinations-practice-exercises/523560.png","ImageObject",300,407,{"name":92,"@type":93},"acoobca","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-03","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What are the primary objectives of this worksheet?","Question",{"text":112,"@type":113},"The worksheet aims to help students practice listing possible combinations from small sets and evaluating numerical combination expressions using combinatorial principles.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are combinations evaluated in the provided examples?",{"text":117,"@type":113},"The examples involve computing nCr values, including expressions that combine basic arithmetic operations with combination formulas to solve for specific totals.",{"name":119,"@type":110,"acceptedAnswer":120},"Why does nCr equal nC(n-r)?",{"text":121,"@type":113},"Choosing n-r items is equivalent to choosing the r items to be left behind, demonstrating the symmetry property of combinations.","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},523560,1791942396,{"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":34,"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},3985747870733,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Kuta Software-Infinite Precalculus Name   \nCombinations Date  Period   \nList all possible combinations.  \n1) T, V, W, taken two at a time 2) 1, 2, 3, 4, taken two at a time  \n3) 4, 5, 6, 7, taken three at a time 4) ☺, ☼, ♥, ▲, ■, taken two at a time  \nEvaluate each expression.  \n5) 􀀔􀀛 C 􀀔􀀔 6) 􀀕􀀗 C􀀗  \n7) 􀀔􀀚 C􀀘 8) 􀀔􀀛 C􀀘  \n9) 􀀕􀀕 C􀀗 10) 􀀔􀀘 C􀀜  \n11) 􀀐􀀔 􀀎 􀀕􀀖 C 􀀔􀀛 12) 􀀔 􀀎 􀀕􀀕 C 􀀔􀀛  \n13) 􀀖 􀂘 􀀕􀀗 C􀀘 14) 􀀔􀀚 C 􀀔􀀕 􀀎 􀀕  \n15) Explain why n C􀀖 􀀠 n Cn 􀀐 􀀖 16) Write a combination that equals 􀀔􀀕􀀖􀀗􀀘  \nKuta Software-Infinite Precalculus Combinations  \nList all possible combinations.  \n1) T, V, W, taken two at a time  \nTV  \nTW  \nVW  \n3) 4, 5, 6, 7, taken three at a time  \n456  \n457  \n467  \n567  \nEvaluate each expression.  \n5) 􀀔􀀛 C 􀀔􀀔  \n31,824  \n7) 􀀔􀀚 C􀀘  \n6,188  \nName  Date  Period   \n2) 1, 2, 3, 4, taken two at a time  \n12  \n13  \n14  \n23  \n24  \n34  \n4) ☺, ☼, ♥, ▲, ■, taken two at a time  \n☺☼  \n☺♥  \n☺▲  \n☺■  \n☼♥  \n☼▲  \n☼■  \n♥▲  \n♥■  \n▲■  \n6) 􀀕􀀗 C􀀗  \n10,626  \n8) 􀀔􀀛 C􀀘  \n8,568  \n9) 􀀕􀀕 C􀀗  \n7,315  \n11) 􀀐􀀔 􀀎 􀀕􀀖 C 􀀔􀀛  \n33,648  \n13) 􀀖 􀂘 􀀕􀀗 C􀀘  \n127,512  \n15) Explain why n C􀀖 􀀠 n Cn 􀀐 􀀖  \nChoosing n 􀀐 􀀖 means three are being left behind. You could think ofit as choosing three.  \n10) 􀀔􀀘 C􀀜  \n5,005  \n12) 􀀔 􀀎 􀀕􀀕 C 􀀔􀀛  \n7,316  \n14) 􀀔􀀚 C 􀀔􀀕 􀀎 􀀕  \n6,190  \n16) Write a combination that equals 􀀔􀀕􀀖􀀗􀀘  \n􀀔􀀕􀀖􀀗􀀘 C 􀀔  \nCreate your own worksheets like this one with Infinite Precalculus. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaikvNYblVrvCJ","https://ap.wps.com/l/cbCaikvNYblVrvCJ","pdf",74103,"English","# Combinations Practice Exercises\n## Listing Combinations\n## Evaluating Expressions\n## Conceptual Questions","[{\"question\":\"What are the primary objectives of this worksheet?\",\"answer\":\"The worksheet aims to help students practice listing possible combinations from small sets and evaluating numerical combination expressions using combinatorial principles.\"},{\"question\":\"How are combinations evaluated in the provided examples?\",\"answer\":\"The examples involve computing nCr values, including expressions that combine basic arithmetic operations with combination formulas to solve for specific totals.\"},{\"question\":\"Why does nCr equal nC(n-r)?\",\"answer\":\"Choosing n-r items is equivalent to choosing the r items to be left behind, demonstrating the symmetry property of combinations.\"}]","Worksheets - Combinations - Practice Exercises | PDF",1791427015]