{"id":7203,"date":"2011-11-26T22:00:33","date_gmt":"2011-11-26T22:00:33","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=7203"},"modified":"2022-01-25T22:40:55","modified_gmt":"2022-01-25T22:40:55","slug":"num-baralho-de-40-cartas","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=7203","title":{"rendered":"Num baralho de 40 cartas"},"content":{"rendered":"<p><ul id='GTTabs_ul_7203' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_7203' class='GTTabs_curr'><a  id=\"7203_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_7203' ><a  id=\"7203_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_7203'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/playing_cards.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"7204\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=7204\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/playing_cards.jpg\" data-orig-size=\"310,310\" 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=\"Baralho de cartas\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/playing_cards.jpg\" class=\"alignright wp-image-7204 size-full\" title=\"Baralho de cartas\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/playing_cards.jpg\" alt=\"\" width=\"310\" height=\"310\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/playing_cards.jpg 310w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/playing_cards-150x150.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/playing_cards-300x300.jpg 300w\" sizes=\"auto, (max-width: 310px) 100vw, 310px\" \/><\/a>Num baralho de 40 cartas, de quantos modos diferentes se podem extrair simultaneamente tr\u00eas cartas que sejam:<\/p>\n<ol>\n<li>reis?<\/li>\n<li>do mesmo valor (tr\u00eas ases, ou tr\u00eas reis, ou &#8230;)?<\/li>\n<li>copas?<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_7203' onClick='GTTabs_show(1,7203)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_7203'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>N\u00e3o pode haver cartas repetidas, nem interessa a ordem das cartas extra\u00eddas.<\/p>\n<ol>\n<li>Pode-se extrair simultaneamente 3 reis de $^{4}{{C}_{3}}=4$ maneiras distintas.<\/li>\n<li>Pode-se extrair simultaneamente 3 cartas do mesmo valor de $10{{\\times }^{4}}{{C}_{3}}=10\\times 4=40$ maneiras diferentes.<\/li>\n<li>Pode-se extrair simultaneamente 3 copas de $^{10}{{C}_{3}}=120$ maneiras diferentes.<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_7203' onClick='GTTabs_show(0,7203)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Num baralho de 40 cartas, de quantos modos diferentes se podem extrair simultaneamente tr\u00eas cartas que sejam: reis? do mesmo valor (tr\u00eas ases, ou tr\u00eas reis, ou &#8230;)? copas? Resolu\u00e7\u00e3o &gt;&gt;&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":21038,"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-7203","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":2634,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/11\/12V1Pag174-46_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7203","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=7203"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7203\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/21038"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7203"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=7203"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=7203"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=7203"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}