{"id":299,"date":"2020-03-26T23:28:21","date_gmt":"2020-03-27T02:28:21","guid":{"rendered":"http:\/\/cinoto.com.br\/matematica\/?p=299"},"modified":"2020-03-26T23:28:21","modified_gmt":"2020-03-27T02:28:21","slug":"determine-n-sabendo-que-an448cn3","status":"publish","type":"post","link":"http:\/\/cinoto.com.br\/matematica\/determine-n-sabendo-que-an448cn3\/","title":{"rendered":"2) Determine n sabendo que A(n, 4) = 48.C(n, 3), 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>A(n, 4) = 48.C(n, 3)<\/p>\n\n\n\n<p>n!\/(n &#8211; 4)! = 48.n!\/3!.(n &#8211; 3)!<\/p>\n\n\n\n<p>divide os dois membros por n!:<\/p>\n\n\n\n<p>1\/(n &#8211; 4)! = 48\/3!.(n &#8211; 3)!<\/p>\n\n\n\n<p>1\/(n &#8211; 4)! = 48\/6.(n &#8211; 3)!<\/p>\n\n\n\n<p>1\/(n &#8211; 4)! = 8\/(n &#8211; 3)!<\/p>\n\n\n\n<p>1\/(n &#8211; 4)! = 8\/(n &#8211; 3).(n &#8211; 4)!<\/p>\n\n\n\n<p>multiplica os dois membros por (n &#8211; 4)!:<\/p>\n\n\n\n<p>1 = 8\/(n &#8211; 3)<\/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-299","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\/299","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=299"}],"version-history":[{"count":1,"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/posts\/299\/revisions"}],"predecessor-version":[{"id":300,"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/posts\/299\/revisions\/300"}],"wp:attachment":[{"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/media?parent=299"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/categories?post=299"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/cinoto.com.br\/matematica\/wp-json\/wp\/v2\/tags?post=299"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}