{"id":7183,"date":"2011-11-20T22:10:27","date_gmt":"2011-11-20T22:10:27","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=7183"},"modified":"2022-01-25T22:08:52","modified_gmt":"2022-01-25T22:08:52","slug":"alguns-automoveis","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=7183","title":{"rendered":"Alguns autom\u00f3veis"},"content":{"rendered":"<p><ul id='GTTabs_ul_7183' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_7183' class='GTTabs_curr'><a  id=\"7183_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_7183' ><a  id=\"7183_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_7183'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/parking.gif\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"7184\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=7184\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/parking.gif\" data-orig-size=\"330,300\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"Parking\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/parking.gif\" class=\"alignright size-full wp-image-7184\" title=\"Parking\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/parking.gif\" alt=\"\" width=\"198\" height=\"180\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/parking.gif 330w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/parking-300x272.gif 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/parking-150x136.gif 150w\" sizes=\"auto, (max-width: 198px) 100vw, 198px\" \/><\/a>De quantos modos diferentes se podem arrumar:<\/p>\n<ol>\n<li>2 carros, num parque de 5 lugares;<\/li>\n<li>5 carros, num parque de 5 lugares.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_7183' onClick='GTTabs_show(1,7183)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_7183'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>Dos cinco lugares de estacionamento, podemos escolher dois deles de ${}^{5}{{C}_{2}}=10$ maneiras diferentes e, para cada uma destas escolhas, podemos arrumar os carros de $2={{P}_{2}}$ maneiras distintas.<br \/>\nAssim, os 2 carros podem ser arrumados num parque de 5 lugares de $N={}^{5}{{C}_{2}}\\times {{P}_{2}}={}^{5}{{A}_{2}}=5\\times 4$ maneiras diferentes.<br \/>\n\u00ad<\/li>\n<li>Cinco carros podem ser arrumados num parque de 5 lugares de $N={{P}_{5}}=5\\times 4\\times 3\\times 2\\times 1=120$ maneiras diferentes.<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_7183' onClick='GTTabs_show(0,7183)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado De quantos modos diferentes se podem arrumar: 2 carros, num parque de 5 lugares; 5 carros, num parque de 5 lugares. Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":21033,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[226,97,227],"tags":[427,255],"series":[],"class_list":["post-7183","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-12--ano","category-aplicando","category-probabilidades-e-combinatoria","tag-12-o-ano","tag-analise-combinatoria"],"views":1748,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/12V1Pag174-41_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7183","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=7183"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7183\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/21033"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7183"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=7183"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=7183"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=7183"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}