{"id":4066,"date":"2024-09-07T10:02:37","date_gmt":"2024-09-07T14:02:37","guid":{"rendered":"https:\/\/josmfs.net\/?p=4066"},"modified":"2024-10-04T21:51:56","modified_gmt":"2024-10-05T01:51:56","slug":"the-umbrella-problem","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2024\/09\/07\/the-umbrella-problem\/","title":{"rendered":"The Umbrella Problem"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft  wp-image-4063\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/09\/Umbrella-Problem-Fig2.jpg\" alt=\"\" width=\"200\" height=\"234\" srcset=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/09\/Umbrella-Problem-Fig2.jpg 400w, https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/09\/Umbrella-Problem-Fig2-256x300.jpg 256w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/>This is a rather mind-boggling problem from the 1947 <em>Eureka<\/em> magazine.<\/p>\n<p>\u201cSix men, A, B, C, D, E, F, of negligible honesty, met on a perfectly rough day, each carrying a light inextensible umbrella. Each man brought his own umbrella, and took away\u2014let us say \u201cborrowed\u201d\u2014another\u2019s. The umbrella borrowed by A belonged to the borrower of B\u2019s umbrella. The owner of the umbrella borrowed by C borrowed the umbrella belonging to the borrower of D\u2019s umbrella. If the borrower of E\u2019s umbrella was not the owner of that borrowed by F, who borrowed A\u2019s umbrella?\u201d<\/p>\n<p><a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/09\/Umbrella-Problem-Answer.jpg\">Answer<\/a>.<\/p>\n<p>See the <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2024\/10\/Umbrella-Problem-241004.pdf\">Umbrella Problem<\/a> for solutions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a rather mind-boggling problem from the 1947 Eureka magazine. \u201cSix men, A, B, C, D, E, F, of negligible honesty, met on a perfectly rough day, each carrying a light inextensible umbrella. Each man brought his own umbrella, and took away\u2014let us say \u201cborrowed\u201d\u2014another\u2019s. The umbrella borrowed by A belonged to the borrower [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[234,173],"class_list":["post-4066","post","type-post","status-publish","format-standard","hentry","category-puzzles-and-problems","tag-eureka-magazine","tag-permutations"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4066","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=4066"}],"version-history":[{"count":2,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4066\/revisions"}],"predecessor-version":[{"id":4122,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/4066\/revisions\/4122"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=4066"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=4066"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=4066"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}