{"id":2435,"date":"2022-04-23T08:09:32","date_gmt":"2022-04-23T08:09:32","guid":{"rendered":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/kombinatoricke-pravidlo-souctu-vzorce\/"},"modified":"2022-05-01T22:06:25","modified_gmt":"2022-05-01T20:06:25","slug":"kombinatoricke-pravidlo-souctu-vzorce","status":"publish","type":"lesson","link":"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/kombinatoricke-pravidlo-souctu-vzorce\/","title":{"rendered":"Kombinatorick\u00e9 pravidlo sou\u010dtu vzorce"},"content":{"rendered":"<p>Druh\u00e9 z\u00e1kladn\u00ed kombinatorick\u00e9 pravidlo je pravidlo sou\u010dtu.<\/p>\n<ul>\n<li>Op\u011bt si uve\u010fme nejprve definici, kter\u00e1 zn\u00ed n\u00e1sledovn\u011b: Jsou-li A1,A2, \u2026,An <strong>kone\u010dn\u00e9 mno\u017einy<\/strong>, kter\u00e9 maj\u00ed po \u0159ad\u011b p1,p2, \u2026,pn prvk\u016f a <strong>jsou-li ka\u017ed\u00e9 dv\u011b disjunktn\u00ed<\/strong>, pak po\u010det prvk\u016f jejich sjednocen\u00ed A1\u222aA2\u222a \u2026 \u222aAn je roven p1+p2+ \u2026 + pn.<\/li>\n<li>Poj\u010fme si toto pravidlo uk\u00e1zat v praxi na p\u0159\u00edkladu.<\/li>\n<\/ul>\n<p>Vzorov\u00fd p\u0159\u00edklad:<\/p>\n<p>Ve \u0161kole jsou dv\u011b prvn\u00ed t\u0159\u00eddy: 1. A a 1. B. Do t\u0159\u00eddy 1. A chod\u00ed 15 \u017e\u00e1k\u016f, do t\u0159\u00eddy 1. B chod\u00ed 10 \u017e\u00e1k\u016f.<\/p>\n<p>Kolik je na \u0161kole prv\u0148\u00e1\u010dk\u016f?<\/p>\n<p><strong>\u0158e\u0161en\u00ed:<\/strong><\/p>\n<p>A\u010dkoliv se to zd\u00e1 jasn\u00e9 a o\u010dividn\u00e9, jedin\u00e9 co sta\u010d\u00ed ud\u011blat je se\u010d\u00edst po\u010det \u017e\u00e1k\u016f v 1.A a po\u010det \u017e\u00e1k\u016f v 1.B.<\/p>\n<p style=\"text-align: center\"><em><strong>15+10=25\u00a0<\/strong><\/em><\/p>\n<p>Toto zad\u00e1n\u00ed spl\u0148uje podm\u00ednky kombinatorick\u00e9ho pravidla sou\u010dtu, proto\u017ee:<\/p>\n<ol>\n<li>ob\u011b mno\u017einy jsou kone\u010dn\u00e9 (jak t\u0159\u00edda 1.A tak i t\u0159\u00edda 1.B maj\u00ed KONE\u010cN\u00dd po\u010det \u017e\u00e1k\u016f)<\/li>\n<li>mno\u017einy jsou disjunktn\u00ed, to znamen\u00e1, \u017ee \u017e\u00e1ci, kte\u0159\u00ed chod\u00ed do 1.A nechod\u00ed z\u00e1rove\u0148 i do 1.B a naopak<\/li>\n<\/ol>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"comment_status":"closed","ping_status":"closed","template":"","class_list":["post-2435","lesson","type-lesson","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Kombinatorick\u00e9 pravidlo sou\u010dtu vzorce | Studijni-svet.cz<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/studijni-svet.cz\/kurzy\/courses\/matematika-k-maturite\/lekce\/kombinatoricke-pravidlo-souctu-vzorce\/\" \/>\n<meta property=\"og:locale\" content=\"cs_CZ\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Kombinatorick\u00e9 pravidlo sou\u010dtu vzorce | Studijni-svet.cz\" \/>\n<meta property=\"og:description\" content=\"Druh\u00e9 z\u00e1kladn\u00ed kombinatorick\u00e9 pravidlo je pravidlo sou\u010dtu. Op\u011bt si uve\u010fme nejprve definici, kter\u00e1 zn\u00ed n\u00e1sledovn\u011b: Jsou-li A1,A2, \u2026,An kone\u010dn\u00e9 mno\u017einy, kter\u00e9 maj\u00ed po \u0159ad\u011b p1,p2, \u2026,pn prvk\u016f a jsou-li ka\u017ed\u00e9 dv\u011b disjunktn\u00ed, pak po\u010det prvk\u016f jejich sjednocen\u00ed A1\u222aA2\u222a \u2026 \u222aAn je roven p1+p2+ \u2026 + pn. Poj\u010fme si toto pravidlo uk\u00e1zat v praxi na p\u0159\u00edkladu. ... 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