{"id":24,"date":"2025-07-21T21:16:57","date_gmt":"2025-07-21T19:16:57","guid":{"rendered":"https:\/\/xn--szmolgp-iwa0f0e.hu\/?page_id=24"},"modified":"2025-07-21T21:16:57","modified_gmt":"2025-07-21T19:16:57","slug":"permutacni-kalkulacka-permutacni-vypocty-a-kombinatoricke-operace","status":"publish","type":"page","link":"https:\/\/xn--szmolgp-iwa0f0e.hu\/cs\/permutacio-kalkulator-permutacio-szamitasok-es-kombinatorikai-muveletek\/","title":{"rendered":"Permuta\u010dn\u00ed kalkula\u010dka \u2013 Permuta\u010dn\u00ed v\u00fdpo\u010dty a kombinatorick\u00e9 operace"},"content":{"rendered":"<h1 class=\"wp-block-heading has-text-align-center\" style=\"margin-bottom:2rem\">Permuta\u010dn\u00ed kalkula\u010dka \u2013 Permuta\u010dn\u00ed v\u00fdpo\u010dty a kombinatorick\u00e9 operace<\/h1>\n<p class=\"has-text-align-center\" style=\"margin-bottom:3rem\">Profesion\u00e1ln\u00ed kalkula\u010dka permutac\u00ed pro v\u00fdpo\u010dty permutac\u00ed, probl\u00e9my s po\u0159ad\u00edm a kombinatorick\u00e9 operace. Ide\u00e1ln\u00ed volba pro studenty, matematiky a statistiky.<\/p>\n<div class=\"permutacio-kalkulator-container\" data-theme=\"light\" style=\"--calculator-width: 100%; --calculator-height: auto;\">\n<div class=\"calculator\">\n<h2>Kalkula\u010dka permutac\u00ed<\/h2>\n<p class=\"calculator-description\">V\u00fdpo\u010dty permutac\u00ed, probl\u00e9my s po\u0159ad\u00edm a kombinatorick\u00e9 operace<\/p>\n<div class=\"input-section\">\n<div class=\"calculation-type\">\n<h3>Typ v\u00fdpo\u010dtu<\/h3>\n<p>                <select id=\"permutacioType\" class=\"form-control\"><option value=\"simple\">Jednoduch\u00e1 permutace (n!)<\/option><option value=\"partial\">\u010c\u00e1ste\u010dn\u00e1 permutace (nPr)<\/option><option value=\"repetition\">Permutace s opakov\u00e1n\u00edm<\/option><option value=\"circular\">Cyklick\u00e1 permutace<\/option><\/select>\n            <\/div>\n<div class=\"input-group\">\n                <label for=\"permutacioN\">n (po\u010det prvk\u016f):<\/label><br \/>\n                <input type=\"number\" id=\"permutacioN\" class=\"form-control\" min=\"1\" max=\"100\" placeholder=\"Nap\u0159\u00edklad: 5\">\n            <\/div>\n<div class=\"input-group\" id=\"permutacioRGroup\" style=\"display: none;\">\n                <label for=\"permutacioR\">r (po\u010det vybran\u00fdch prvk\u016f):<\/label><br \/>\n                <input type=\"number\" id=\"permutacioR\" class=\"form-control\" min=\"1\" max=\"100\" placeholder=\"Nap\u0159\u00edklad: 3\">\n            <\/div>\n<p>            <button type=\"button\" id=\"permutacioCalculate\" class=\"btn btn-primary\">V\u00fdpo\u010det<\/button><br \/>\n            <button type=\"button\" id=\"permutacioReset\" class=\"btn btn-secondary\">Smaz\u00e1n\u00ed<\/button>\n        <\/div>\n<div class=\"result-section\" id=\"permutacioResult\" style=\"display: none;\">\n<h3>V\u00fdsledek<\/h3>\n<div class=\"result-display\">\n<div class=\"result-item\">\n                    <span class=\"result-label\">Po\u010det permutac\u00ed:<\/span><br \/>\n                    <span class=\"result-value\" id=\"permutacioResultValue\">\u2013<\/span>\n                <\/div>\n<div class=\"result-item\">\n                    <span class=\"result-label\">Vzorec:<\/span><br \/>\n                    <span class=\"result-formula\" id=\"permutacioFormula\">\u2013<\/span>\n                <\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"info-section\">\n<h3>Informace<\/h3>\n<ul>\n<li><strong>Jednoduch\u00e1 permutace:<\/strong> Po\u010det po\u0159ad\u00ed n r\u016fzn\u00fdch prvk\u016f<\/li>\n<li><strong>\u010c\u00e1ste\u010dn\u00e1 permutace:<\/strong> V\u00fdb\u011br r prvk\u016f z n prvk\u016f s po\u0159ad\u00edm<\/li>\n<li><strong>Cyklick\u00e1 permutace:<\/strong> permutace prvk\u016f um\u00edst\u011bn\u00fdch v kruhu<\/li>\n<\/ul><\/div>\n<\/p><\/div>\n<\/div>\n<p><script>\ndocument.addEventListener('DOMContentLoaded', function() {\n    const permutacioType = document.getElementById('permutacioType');\n    const permutacioN = document.getElementById('permutacioN');\n    const permutacioR = document.getElementById('permutacioR');\n    const permutacioRGroup = document.getElementById('permutacioRGroup');\n    const permutacioCalculate = document.getElementById('permutacioCalculate');\n    const permutacioReset = document.getElementById('permutacioReset');\n    const permutacioResult = document.getElementById('permutacioResult');\n    const permutacioResultValue = document.getElementById('permutacioResultValue');\n    const permutacioFormula = document.getElementById('permutacioFormula');<\/p>\n<p>    permutacioType.addEventListener('change', function() {\n        permutacioRGroup.style.display = permutacioType.value === 'partial' ? 'block' : 'none';\n    });<\/p>\n<p>    permutacioCalculate.addEventListener('click', function() {\n        const n = parseInt(permutacioN.value);\n        const type = permutacioType.value;<\/p>\n<p>        if (!n || n < 1) {\n            alert('K\u00e9rj\u00fck, adjon meg \u00e9rv\u00e9nyes n \u00e9rt\u00e9ket!');\n            return;\n        }\n        \n        let result, formula;\n        \n        switch(type) {\n            case 'simple':\n                result = factorial(n);\n                formula = `P(${n}) = ${n}!`;\n                break;\n            case 'partial':\n                const r = parseInt(permutacioR.value);\n                if (!r || r < 1 || r > n) {\n                    alert('K\u00e9rj\u00fck, adjon meg \u00e9rv\u00e9nyes r \u00e9rt\u00e9ket (1 \u2264 r \u2264 n)!');\n                    return;\n                }\n                result = factorial(n) \/ factorial(n - r);\n                formula = `P(${n}, ${r}) = ${n}! \/ (${n} - ${r})!`;\n                break;\n            case 'circular':\n                result = factorial(n - 1);\n                formula = `P_c(${n}) = (${n} - 1)!`;\n                break;\n        }<\/p>\n<p>        permutacioResultValue.textContent = result.toLocaleString();\n        permutacioFormula.textContent = formula;\n        permutacioResult.style.display = 'block';\n    });<\/p>\n<p>    permutacioReset.addEventListener('click', function() {\n        permutacioN.value = '';\n        permutacioR.value = '';\n        permutacioResult.style.display = 'none';\n        permutacioRGroup.style.display = 'none';\n    });<\/p>\n<p>    function factorial(n) {\n        if (n === 0 || n === 1) return 1;\n        let result = 1;\n        for (let i = 2; i <= n; i++) {\n            result *= i;\n        }\n        return result;\n    }\n});\n<\/script><\/p>","protected":false},"excerpt":{"rendered":"<p>Permut\u00e1ci\u00f3 Kalkul\u00e1tor &#8211; Permut\u00e1ci\u00f3 Sz\u00e1m\u00edt\u00e1sok \u00e9s Kombinatorikai M\u0171veletek Professzion\u00e1lis permut\u00e1ci\u00f3 kalkul\u00e1tor permut\u00e1ci\u00f3 sz\u00e1m\u00edt\u00e1sokhoz, sorrendi probl\u00e9m\u00e1khoz \u00e9s kombinatorikai m\u0171veletekhez. 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Permut\u00e1ci\u00f3 Kalkul\u00e1tor Permut\u00e1ci\u00f3 sz\u00e1m\u00edt\u00e1sok, sorrendi probl\u00e9m\u00e1k \u00e9s kombinatorikai m\u0171veletek Sz\u00e1m\u00edt\u00e1s t\u00edpusa Egyszer\u0171 permut\u00e1ci\u00f3 (n!)R\u00e9szleges permut\u00e1ci\u00f3 (nPr)Permut\u00e1ci\u00f3 ism\u00e9tl\u00e9sselCiklikus permut\u00e1ci\u00f3 n (elemek sz\u00e1ma): r (kiv\u00e1lasztott elemek sz\u00e1ma): Sz\u00e1m\u00edt\u00e1s T\u00f6rl\u00e9s Eredm\u00e9ny Permut\u00e1ci\u00f3k sz\u00e1ma: &#8211; &#8230; <a title=\"Permuta\u010dn\u00ed kalkula\u010dka \u2013 V\u00fdpo\u010dty permutac\u00ed a kombinatorick\u00e9 operace\" class=\"read-more\" href=\"https:\/\/xn--szmolgp-iwa0f0e.hu\/cs\/permutacio-kalkulator-permutacio-szamitasok-es-kombinatorikai-muveletek\/\" aria-label=\"\u010c\u00edst v\u00edce o Permut\u00e1ci\u00f3 Kalkul\u00e1tor &#8211; Permut\u00e1ci\u00f3 Sz\u00e1m\u00edt\u00e1sok \u00e9s Kombinatorikai M\u0171veletek\">\u010c\u00edst d\u00e1l<\/a><\/p>","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-24","page","type-page","status-publish"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Permut\u00e1ci\u00f3 Kalkul\u00e1tor - Permut\u00e1ci\u00f3 Sz\u00e1m\u00edt\u00e1sok \u00e9s Kombinatorikai M\u0171veletek - Sz\u00e1mol\u00f3g\u00e9pek \u00e9s kalkul\u00e1torok gy\u0171jtem\u00e9nye<\/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:\/\/xn--szmolgp-iwa0f0e.hu\/cs\/permutacni-kalkulacka-permutacni-vypocty-a-kombinatoricke-operace\/\" \/>\n<meta property=\"og:locale\" content=\"cs_CZ\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Permut\u00e1ci\u00f3 Kalkul\u00e1tor - Permut\u00e1ci\u00f3 Sz\u00e1m\u00edt\u00e1sok \u00e9s Kombinatorikai M\u0171veletek - Sz\u00e1mol\u00f3g\u00e9pek \u00e9s kalkul\u00e1torok gy\u0171jtem\u00e9nye\" \/>\n<meta property=\"og:description\" content=\"Permut\u00e1ci\u00f3 Kalkul\u00e1tor &#8211; Permut\u00e1ci\u00f3 Sz\u00e1m\u00edt\u00e1sok \u00e9s Kombinatorikai M\u0171veletek Professzion\u00e1lis permut\u00e1ci\u00f3 kalkul\u00e1tor permut\u00e1ci\u00f3 sz\u00e1m\u00edt\u00e1sokhoz, sorrendi probl\u00e9m\u00e1khoz \u00e9s kombinatorikai m\u0171veletekhez. 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