{"id":356,"date":"2012-07-23T17:29:42","date_gmt":"2012-07-23T22:29:42","guid":{"rendered":"http:\/\/blogs.acu.edu\/jee99a\/?page_id=356"},"modified":"2012-09-04T14:28:27","modified_gmt":"2012-09-04T19:28:27","slug":"permutations-and-combinations","status":"publish","type":"page","link":"https:\/\/blogs.acu.edu\/jee99a\/courses\/quantitative-reasoning\/permutations-and-combinations\/","title":{"rendered":"Permutations and Combinations"},"content":{"rendered":"<div class='et-box et-shadow'>\n\t\t\t\t\t<div class='et-box-content'><strong>Description<\/strong>: In this lecture we introduce two new concepts related to counting. Permutations are rearrangements of objects while combinations are collections of objects. We use the factorial to derive formulas to handle each case. We also consider problems where both counting methods are necessary and discuss how to handle items that are repeated.<\/div><\/div>\n<p style=\"text-align: center\"><a href=\"http:\/\/blogs.acu.edu\/jee99a\/files\/2012\/07\/Permutations-and-Combinations-Handout.pdf\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-900\" src=\"http:\/\/blogs.acu.edu\/jee99a\/files\/2012\/07\/F11_120_L02.jpg\" alt=\"\" width=\"523\" height=\"391\" srcset=\"https:\/\/blogs.acu.edu\/jee99a\/files\/2012\/07\/F11_120_L02.jpg 871w, https:\/\/blogs.acu.edu\/jee99a\/files\/2012\/07\/F11_120_L02-75x56.jpg 75w, https:\/\/blogs.acu.edu\/jee99a\/files\/2012\/07\/F11_120_L02-300x224.jpg 300w, https:\/\/blogs.acu.edu\/jee99a\/files\/2012\/07\/F11_120_L02-490x366.jpg 490w\" sizes=\"auto, (max-width: 523px) 100vw, 523px\" \/><\/a><\/p>\n<p style=\"text-align: center\"><span style=\"color: #000000\"><em>\u00a0<\/em><\/span><\/p>\n\n\t\t\t<div class='tabs-left et_sliderfx_fade et_sliderauto_false et_sliderauto_speed_5000 et_slidertype_left_tabs clearfix'>\n\t\t\t\t<div class='et_left_tabs_bg'><\/div>\n\t\t\t\t<ul class='et-tabs-control'>\n\t\t\t<li><a href='#'>\n\t\t\tReadings\n\t\t<\/a><\/li> \n\t\t<li><a href='#'>\n\t\t\tHomework\n\t\t<\/a><\/li> \n\t\t<li><a href='#'>\n\t\t\tQuizzes\n\t\t<\/a><\/li>\n\t\t<\/ul> <!-- .et-tabs-control --> \n\t\t<div class='et-tabs-content'>\n\t\t\t<div class='et-tabs-content-main-wrap'>\n\t\t\t\t<div class='et-tabs-content-wrapper'>\n\t\t\t\t\t<div class='et_slidecontent'>\n\t\t\t<p>Section 13.3 p.638-650<\/p>\n<p>Section 13.4 p.650-654<\/p>\n\t\t<\/div> \n\t\t<div class='et_slidecontent'>\n\t\t\t<p>Section 13.3 #51-56, 60-61, 63, 65-66, 70, 74<\/p>\n<p>Section 13.4 #9-14, 20<\/p>\n\t\t<\/div> \n\t\t<div class='et_slidecontent'>\n\t\t\t<p><a href=\"http:\/\/blogs.acu.edu\/jee99a\/files\/2012\/07\/Summer11_Quiz2.pdf\">Practice Quiz (Summer 2011)<\/a><\/p>\n<p><a href=\"http:\/\/blogs.acu.edu\/jee99a\/files\/2012\/07\/Summer11_Quiz2AK.pdf\">Practice Quiz Answers (Summer 2011)<\/a><\/p>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t<\/div> <!-- .tabs-left -->\n<p>&nbsp;<\/p>\n<h3>Video Tutorials<\/h3>\n<p style=\"text-align: center\">\u00a0[youtube MpZaz8Yygng]<\/p>\n<p style=\"text-align: center\">\u00a0[youtube gb-4epFBlYc]<\/p>\n<p style=\"text-align: center\">[youtube -Iq9vWnAHAA]<\/p>\n<p style=\"text-align: center\">[youtube BbxueSnSPi4]<\/p>\n<p style=\"text-align: center\">[youtube FJDC_4wbMCY]<\/p>\n<p style=\"text-align: center\">[youtube YbOpJ0ErDes]<\/p>\n<p>&nbsp;<br \/>\n<a href='http:\/\/blogs.acu.edu\/jee99a\/courses\/quantitative-reasoning\/introduction-to-probability-and-odds\/?submit=Go' class='small-button smallsilver'>Probability and Odds \u00bb \u00a0<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00a0 &nbsp; Video Tutorials \u00a0[youtube MpZaz8Yygng] \u00a0[youtube gb-4epFBlYc] [youtube -Iq9vWnAHAA] [youtube BbxueSnSPi4] [youtube FJDC_4wbMCY] [youtube YbOpJ0ErDes] &nbsp;<\/p>\n","protected":false},"author":130,"featured_media":0,"parent":100,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-356","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/pages\/356","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/users\/130"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/comments?post=356"}],"version-history":[{"count":18,"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/pages\/356\/revisions"}],"predecessor-version":[{"id":369,"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/pages\/356\/revisions\/369"}],"up":[{"embeddable":true,"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/pages\/100"}],"wp:attachment":[{"href":"https:\/\/blogs.acu.edu\/jee99a\/wp-json\/wp\/v2\/media?parent=356"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}