{"id":7224,"date":"2011-12-02T17:32:51","date_gmt":"2011-12-02T17:32:51","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=7224"},"modified":"2022-01-25T23:13:43","modified_gmt":"2022-01-25T23:13:43","slug":"o-alfabeto-morse","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=7224","title":{"rendered":"O alfabeto Morse"},"content":{"rendered":"<p><ul id='GTTabs_ul_7224' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_7224' class='GTTabs_curr'><a  id=\"7224_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_7224' ><a  id=\"7224_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_7224'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/morse.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"7225\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=7225\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/morse.jpg\" data-orig-size=\"446,432\" 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=\"C\u00f3digo Morse\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/morse.jpg\" class=\"alignright wp-image-7225\" title=\"C\u00f3digo Morse\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/morse.jpg\" alt=\"\" width=\"240\" height=\"232\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/morse.jpg 446w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/morse-300x290.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/morse-150x145.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/morse-400x387.jpg 400w\" sizes=\"auto, (max-width: 240px) 100vw, 240px\" \/><\/a>O alfabeto Morse utiliza os s\u00edmbolos \u2022 e <strong>\u2013<\/strong>.<\/p>\n<p>Utilizando no m\u00e1ximo tr\u00eas destes s\u00edmbolos, quantas sequ\u00eancias distintas se podem obter?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_7224' onClick='GTTabs_show(1,7224)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_7224'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>As sequ\u00eancias pretendidas podem ser constitu\u00eddas por:<\/p>\n<ul>\n<li>1 s\u00edmbolo, que pode ser escolhido de duas maneiras diferentes. Portanto, ${{N}_{1}}={}^{2}{{A}_{1}}=2$;<\/li>\n<li>2 s\u00edmbolos, que podem ser escolhidos, cada um deles, de duas maneiras diferentes. Portanto, ${{N}_{2}}={}^{2}A{{&#8216;}_{2}}=2\\times 2={{2}^{2}}=4$;<\/li>\n<li>&nbsp;3 s\u00edmbolos, os quais podem ser escolhidos, cada um deles , de duas maneiras diferentes. Portanto, ${{N}_{3}}={}^{2}A{{&#8216;}_{3}}=2\\times 2\\times 2={{2}^{3}}=8$.<\/li>\n<\/ul>\n<p>&nbsp;Assim, o n\u00famero de sequ\u00eancias distintas que se podem obter, utilizando no m\u00e1ximo tr\u00eas destes s\u00edmbolos, \u00e9 $N={{N}_{1}}+{{N}_{2}}+{{N}_{2}}=14$.<\/p>\n<p><\/p>\n<p><div class=\"video-container\"><span class=\"embed-youtube\" style=\"text-align:center; display: block;\"><iframe loading=\"lazy\" class=\"youtube-player\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/oo0hSZ9R_Xk?version=3&#038;rel=1&#038;showsearch=0&#038;showinfo=1&#038;iv_load_policy=1&#038;fs=1&#038;hl=pt-PT&#038;autohide=2&#038;wmode=transparent\" allowfullscreen=\"true\" style=\"border:0;\" sandbox=\"allow-scripts allow-same-origin allow-popups allow-presentation allow-popups-to-escape-sandbox\"><\/iframe><\/span><\/div><\/p>\n<p><\/p>\n<p><div class=\"video-container\"><span class=\"embed-youtube\" style=\"text-align:center; display: block;\"><iframe loading=\"lazy\" class=\"youtube-player\" width=\"640\" height=\"360\" src=\"https:\/\/www.youtube.com\/embed\/JJtJve1Aqu8?version=3&#038;rel=1&#038;showsearch=0&#038;showinfo=1&#038;iv_load_policy=1&#038;fs=1&#038;hl=pt-PT&#038;autohide=2&#038;wmode=transparent\" allowfullscreen=\"true\" style=\"border:0;\" sandbox=\"allow-scripts allow-same-origin allow-popups allow-presentation allow-popups-to-escape-sandbox\"><\/iframe><\/span><\/div><\/p>\n\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_7224' onClick='GTTabs_show(0,7224)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado O alfabeto Morse utiliza os s\u00edmbolos \u2022 e \u2013. Utilizando no m\u00e1ximo tr\u00eas destes s\u00edmbolos, quantas sequ\u00eancias distintas se podem obter? Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":21046,"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-7224","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":2031,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/12V1Pag177-58_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7224","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=7224"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7224\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/21046"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7224"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=7224"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=7224"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=7224"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}