{"id":9733,"date":"2022-12-26T12:10:32","date_gmt":"2022-12-26T12:10:32","guid":{"rendered":"https:\/\/www.greatassignmenthelp.com\/questions\/?p=9733"},"modified":"2023-12-21T11:19:52","modified_gmt":"2023-12-21T11:19:52","slug":"a-starting-lineup-in-basketball-consists-of-two-guards-two-forwards-and-a-center","status":"publish","type":"post","link":"https:\/\/www.greatassignmenthelp.com\/questions\/a-starting-lineup-in-basketball-consists-of-two-guards-two-forwards-and-a-center\/","title":{"rendered":"A starting lineup in basketball consists of two guards, two forwards, and a center."},"content":{"rendered":"<p>A starting lineup in basketball consists of two guards, two forwards, and a center.<\/p>\n<p>a. A certain college team has on its roster three centers, four guards, four forwards, and one individual (X) who can play either guard or forward. How many different starting lineups can be created? [Hint: Consider lineups without X, then lineups with X as guard, then lineups with X as forward.]<\/p>\n<p>b. Now suppose the roster has 5 guards, 5 forwards, 3 centers, and 2 \u201cswing players\u201d (X and Y) who can play either guard or forward. If 5 of the 15 players are randomly selected, what is the probability that they constitute a legitimate starting lineup?<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A starting lineup in basketball consists of two guards, two forwards, and a center. a. A certain college team has on its roster three centers, [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[27],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A starting lineup in basketball consists of two guards, two forwards, and a center.<\/title>\n<meta name=\"description\" content=\"A starting lineup in basketball consists of two guards, two forwards, and a center. a. A certain college team has on its roster three centers, four guards, four forwards, and one individual (X) who can play either guard or forward. How many different starting lineups can be created? [Hint: Consider lineups without X, then lineups with X as guard, then lineups with X as forward.] b. Now suppose the roster has 5 guards, 5 forwards,\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.greatassignmenthelp.com\/questions\/a-starting-lineup-in-basketball-consists-of-two-guards-two-forwards-and-a-center\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A starting lineup in basketball consists of two guards, two forwards, and a center.\" \/>\n<meta property=\"og:description\" content=\"A starting lineup in basketball consists of two guards, two forwards, and a center. a. A certain college team has on its roster three centers, four guards, four forwards, and one individual (X) who can play either guard or forward. How many different starting lineups can be created? [Hint: Consider lineups without X, then lineups with X as guard, then lineups with X as forward.] b. Now suppose the roster has 5 guards, 5 forwards,\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.greatassignmenthelp.com\/questions\/a-starting-lineup-in-basketball-consists-of-two-guards-two-forwards-and-a-center\/\" \/>\n<meta property=\"og:site_name\" content=\"Questions - Greatassignmenthelp.com\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/Greatassignmenthelpus\" \/>\n<meta property=\"article:published_time\" content=\"2022-12-26T12:10:32+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2023-12-21T11:19:52+00:00\" \/>\n<meta name=\"author\" content=\"Jay Cooper\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@assignmentgreat\" \/>\n<meta name=\"twitter:site\" content=\"@assignmentgreat\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Jay Cooper\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/a-starting-lineup-in-basketball-consists-of-two-guards-two-forwards-and-a-center\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/a-starting-lineup-in-basketball-consists-of-two-guards-two-forwards-and-a-center\/\"},\"author\":{\"name\":\"Jay Cooper\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#\/schema\/person\/3a1b105fd8c3db97e016fb16652b9b3e\"},\"headline\":\"A starting lineup in basketball consists of two guards, two forwards, and a center.\",\"datePublished\":\"2022-12-26T12:10:32+00:00\",\"dateModified\":\"2023-12-21T11:19:52+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/a-starting-lineup-in-basketball-consists-of-two-guards-two-forwards-and-a-center\/\"},\"wordCount\":119,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#organization\"},\"articleSection\":[\"New Category\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/www.greatassignmenthelp.com\/questions\/a-starting-lineup-in-basketball-consists-of-two-guards-two-forwards-and-a-center\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/a-starting-lineup-in-basketball-consists-of-two-guards-two-forwards-and-a-center\/\",\"url\":\"https:\/\/www.greatassignmenthelp.com\/questions\/a-starting-lineup-in-basketball-consists-of-two-guards-two-forwards-and-a-center\/\",\"name\":\"A starting lineup in basketball consists of two guards, two forwards, and a center.\",\"isPartOf\":{\"@id\":\"https:\/\/www.greatassignmenthelp.com\/questions\/#website\"},\"datePublished\":\"2022-12-26T12:10:32+00:00\",\"dateModified\":\"2023-12-21T11:19:52+00:00\",\"description\":\"A starting lineup in basketball consists of two guards, two forwards, and a center. a. 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