{"id":2623,"date":"2024-04-18T09:31:03","date_gmt":"2024-04-18T09:31:03","guid":{"rendered":"http:\/\/matej.info\/matejmatika\/?p=2623"},"modified":"2024-04-19T06:09:07","modified_gmt":"2024-04-19T06:09:07","slug":"ko-naloga-1","status":"publish","type":"post","link":"http:\/\/matej.info\/matejmatika\/ko-naloga-1\/","title":{"rendered":"KO – naloga 1"},"content":{"rendered":"\n

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

Pri metu kovanca je mo\u017een izid cifra (\"C\") ali podoba (\"P\").<\/p>\n\n\n\n

a) Na koliko na\u010dinov lahko pri 20 zaporednih metih kovanca vr\u017eemo \"C\" natanko 15-krat?<\/p>\n\n\n\n

b) Na koliko na\u010dinov lahko pri 20 zaporednih metih kovanca vr\u017eemo \"C\" vsaj 18-krat?<\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div>\n\n\n\n

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

a) ena od mo\u017enosti je PPCPP PCCCC CCCCC CCCCC, razporejamo 15 enakih in 5 enakih elementov na 20 mest.<\/p>\n\n\n\n

b) Vr\u017eemo cifro natanko 18-krat ali natanko 19-krat ali natano 20-krat.<\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div>\n\n\n\n

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

a) \"P_{20}^{15,5}=\dfrac{20!}{15!5!}=15504\"<\/p>\n\n\n\n

b) \"P_{20}^{18,2}+P_{20}^{19,1}+P_{20}^{20}=211\"<\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div>\n\n\n\n

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

Pri metu kovanca je mo\u017een izid cifra () ali podoba … <\/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":[84,85],"class_list":["post-2623","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-kombinatorika","tag-kombinatorika","tag-permutacije","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 Pri metu kovanca je mo\u017een izid cifra () ali podoba (). a) Na koliko na\u010dinov lahko pri 20 zaporednih metih kovanca vr\u017eemo natanko 15-krat? b) Na koliko na\u010dinov lahko pri 20 zaporednih metih kovanca vr\u017eemo vsaj 18-krat? Namig a) ena od mo\u017enosti je PPCPP PCCCC CCCCC CCCCC, razporejamo 15 enakih in 5 enakih elementov na 20 mest. b) Vr\u017eemo cifro natanko 18-krat ali natanko 19-krat ali natano 20-krat. Re\u0161itev: a) b)<\/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\/2623","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=2623"}],"version-history":[{"count":5,"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/posts\/2623\/revisions"}],"predecessor-version":[{"id":2628,"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/posts\/2623\/revisions\/2628"}],"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=2623"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/categories?post=2623"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/matej.info\/matejmatika\/wp-json\/wp\/v2\/tags?post=2623"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}