{"id":2629,"date":"2024-04-18T09:57:07","date_gmt":"2024-04-18T09:57:07","guid":{"rendered":"http:\/\/matej.info\/matejmatika\/?p=2629"},"modified":"2024-04-19T06:04:37","modified_gmt":"2024-04-19T06:04:37","slug":"ko-naloga-2","status":"publish","type":"post","link":"http:\/\/matej.info\/matejmatika\/ko-naloga-2\/","title":{"rendered":"KO – naloga 2"},"content":{"rendered":"\n

Naloga<\/h4><\/path><\/svg><\/div>
\n

V avtomobilski salon pripeljejo 3 avtomobile znamke Ford, 4 avtomobile znamke Audi in 6 avtomobilov znamke Volkswagen.<\/p>\n\n\n\n

Na koliko na\u010dinov jih lahko postavijo v izlo\u017ebi v vrsto, \u010de:<\/p>\n\n\n\n

a) morajo stati avtomobili znamke Ford skupaj in obiskovalci ne lo\u010dujejo med avtomobili iste znamke?<\/p>\n\n\n\n

b) morajo avtomobili iste znamke stati skupaj in obiskovalci lahko razlo\u010dijo med avtomobili istih znamk?<\/p>\n\n\n\n

c) stojijo tako, da je vsaki drugi v vrsti Volkswagen, pri \u010demer avtomobilov znamke Volkswagen obiskovalci ne lo\u010dujejo med sabo?<\/p>\n\n\n\n

d) na za\u010detku in koncu vrste sta dva Volkswagna, med sabo vozila obiskovalci lo\u010dujejo.<\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div>\n\n\n\n

Namig<\/h4><\/path><\/svg><\/div>
\n

a) ena od mo\u017enosti je \"A V (FFF) A A V A V V V V\", premutiramo \"11\" elementov, kjer je nekaj enakih…<\/p>\n\n\n\n

b) tri ‘pakete’ razporejamo na tri mesta, znotraj vsakega paketa dodatno permutiramo<\/p>\n\n\n\n

c) \"\_ V \_ V \_ V \_ V \_ V \_ V \_\" , soda mesta so zasedena z enakimi elementi, razporedimo le razli\u010dne elemente na sedmih lihih mestih<\/p>\n\n\n\n

d) \"V \_ \ldots \_ V\", izberemo dva Volkswagna, ostale permutiramo <\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div>\n\n\n\n

Re\u0161itev:<\/h4><\/path><\/svg><\/div>
\n

a) \"P_{11}^{4,6}=\dfrac{11!}{4!6!}=2310\"<\/p>\n\n\n\n

b) \"3!(3!4!6!)=622080\"<\/p>\n\n\n\n

c) \"P_7=7!=5040\"<\/p>\n\n\n\n

d) \"V_6^2\cdot P_{11}=1197504000\"<\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

V avtomobilski salon pripeljejo 3 avtomobile znamke Ford, 4 avtomobile … <\/p>\n","protected":false},"author":1,"featured_media":2639,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[84],"class_list":["post-2629","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-kombinatorika","tag-kombinatorika","grid-sizer"],"featured_image_urls_v2":{"full":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2024\/04\/KO.jpg",261,215,false],"thumbnail":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2024\/04\/KO-150x150.jpg",150,150,true],"medium":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2024\/04\/KO.jpg",261,215,false],"medium_large":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2024\/04\/KO.jpg",261,215,false],"large":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2024\/04\/KO.jpg",261,215,false],"post-slider-thumb-size":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2024\/04\/KO-261x190.jpg",261,190,true],"post-category-slider-size":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2024\/04\/KO.jpg",261,215,false],"1536x1536":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2024\/04\/KO.jpg",261,215,false],"2048x2048":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2024\/04\/KO.jpg",261,215,false],"blossom-coach-schema":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2024\/04\/KO-261x60.jpg",261,60,true],"blossom-coach-slider":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2024\/04\/KO.jpg",261,215,false],"blossom-coach-fullwidth":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2024\/04\/KO.jpg",261,215,false],"blossom-coach-with-sidebar":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2024\/04\/KO.jpg",261,215,false],"blossom-coach-latest":["http:\/\/matej.info\/matejmatika\/wp-content\/uploads\/2024\/04\/KO.jpg",261,215,false]},"post_excerpt_stackable_v2":"

Naloga V avtomobilski salon pripeljejo 3 avtomobile znamke Ford, 4 avtomobile znamke Audi in 6 avtomobilov znamke Volkswagen. Na koliko na\u010dinov jih lahko postavijo v izlo\u017ebi v vrsto, \u010de: a) morajo stati avtomobili znamke Ford skupaj in obiskovalci ne lo\u010dujejo med avtomobili iste znamke? b) morajo avtomobili iste znamke stati skupaj in obiskovalci lahko razlo\u010dijo med avtomobili istih znamk? c) stojijo tako, da je vsaki drugi v vrsti Volkswagen, pri \u010demer avtomobilov znamke Volkswagen obiskovalci ne lo\u010dujejo med sabo? d) na za\u010detku in koncu vrste sta dva Volkswagna, med sabo vozila obiskovalci lo\u010dujejo. Namig a) ena od mo\u017enosti je ,…<\/p>\n","category_list_v2":"Kombinatorika<\/a>","author_info_v2":{"name":"profM","url":"http:\/\/matej.info\/matejmatika\/author\/profm\/"},"comments_num_v2":"0 comments","_links":{"self":[{"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/posts\/2629","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/comments?post=2629"}],"version-history":[{"count":7,"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/posts\/2629\/revisions"}],"predecessor-version":[{"id":2638,"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/posts\/2629\/revisions\/2638"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/media\/2639"}],"wp:attachment":[{"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/media?parent=2629"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/categories?post=2629"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/tags?post=2629"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}