{"id":305,"date":"2020-03-26T23:35:10","date_gmt":"2020-03-27T02:35:10","guid":{"rendered":"http:\/\/cinoto.com.br\/matematica\/?p=305"},"modified":"2020-03-26T23:35:10","modified_gmt":"2020-03-27T02:35:10","slug":"na-equacao-an33cn4-qual-o-valor-de-n","status":"publish","type":"post","link":"http:\/\/cinoto.com.br\/matematica\/na-equacao-an33cn4-qual-o-valor-de-n\/","title":{"rendered":"5) Na equa\u00e7\u00e3o: A(n, 3) = 3.C(n, 4), qual o valor de n? Onde A(n, p) \u00e9 o n\u00famero de arranjos de n elementos tomados p a p; C(n, p) \u00e9 o n\u00famero de combina\u00e7\u00f5es de n elementos tomados p a p."},"content":{"rendered":"\n<!--more-->\n\n\n\n<h2 class=\"wp-block-heading\">Resolu\u00e7\u00e3o:<\/h2>\n\n\n\n<p>Primeiro vamos escrever o que temos:<\/p>\n\n\n\n<p>A(n, 3) = n!\/(n-3)!<\/p>\n\n\n\n<p>C(n, 4) = n!\/4!.(n-4)!<\/p>\n\n\n\n<p>E agora vamos resolver a equa\u00e7\u00e3o:<\/p>\n\n\n\n<p>A(n,3) = 3.C(n,4)<\/p>\n\n\n\n<p>n!\/(n-3)! = 3.n!\/4!.(n-4)!, simplifica n!,<\/p>\n\n\n\n<p>1\/(n-3)! = 3\/4!.(n-4)!<\/p>\n\n\n\n<p>1\/(n-3)! = 3\/24.(n-4)!<\/p>\n\n\n\n<p>1\/(n-3).(n-4)! = 3\/24.(n-4)!, simplifica (n-4)!,<\/p>\n\n\n\n<p>1\/(n-3) = 3\/24<\/p>\n\n\n\n<p>1\/(n-3) = 1\/8<\/p>\n\n\n\n<p>n &#8211; 3 = 8<\/p>\n\n\n\n<p>n = 11<\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10],"tags":[28],"class_list":["post-305","post","type-post","status-publish","format-standard","hentry","category-fatorial","tag-facil"],"_links":{"self":[{"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/posts\/305","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/comments?post=305"}],"version-history":[{"count":1,"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/posts\/305\/revisions"}],"predecessor-version":[{"id":306,"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/posts\/305\/revisions\/306"}],"wp:attachment":[{"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/media?parent=305"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/categories?post=305"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/tags?post=305"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}