{"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":"permutacio-kalkulator-permutacio-szamitasok-es-kombinatorikai-muveletek","status":"publish","type":"page","link":"https:\/\/xn--szmolgp-iwa0f0e.hu\/en\/permutacio-kalkulator-permutacio-szamitasok-es-kombinatorikai-muveletek\/","title":{"rendered":"Permut\u00e1ci\u00f3 Kalkul\u00e1tor &#8211; Permut\u00e1ci\u00f3 Sz\u00e1m\u00edt\u00e1sok \u00e9s Kombinatorikai M\u0171veletek"},"content":{"rendered":"<h1 class=\"wp-block-heading has-text-align-center\" style=\"margin-bottom:2rem\">Permut\u00e1ci\u00f3 Kalkul\u00e1tor &#8211; Permut\u00e1ci\u00f3 Sz\u00e1m\u00edt\u00e1sok \u00e9s Kombinatorikai M\u0171veletek<\/h1>\n<p class=\"has-text-align-center\" style=\"margin-bottom:3rem\">Professzion\u00e1lis permut\u00e1ci\u00f3 kalkul\u00e1tor permut\u00e1ci\u00f3 sz\u00e1m\u00edt\u00e1sokhoz, sorrendi probl\u00e9m\u00e1khoz \u00e9s kombinatorikai m\u0171veletekhez. T\u00f6k\u00e9letes v\u00e1laszt\u00e1s di\u00e1koknak, matematikusoknak \u00e9s statisztikusoknak.<\/p>\n<div class=\"permutacio-kalkulator-container\" data-theme=\"light\" style=\"--calculator-width: 100%; --calculator-height: auto;\">\n<div class=\"calculator\">\n<h2>Permut\u00e1ci\u00f3 Kalkul\u00e1tor<\/h2>\n<p class=\"calculator-description\">Permut\u00e1ci\u00f3 sz\u00e1m\u00edt\u00e1sok, sorrendi probl\u00e9m\u00e1k \u00e9s kombinatorikai m\u0171veletek<\/p>\n<div class=\"input-section\">\n<div class=\"calculation-type\">\n<h3>Sz\u00e1m\u00edt\u00e1s t\u00edpusa<\/h3>\n<p>                <select id=\"permutacioType\" class=\"form-control\"><option value=\"simple\">Egyszer\u0171 permut\u00e1ci\u00f3 (n!)<\/option><option value=\"partial\">R\u00e9szleges permut\u00e1ci\u00f3 (nPr)<\/option><option value=\"repetition\">Permut\u00e1ci\u00f3 ism\u00e9tl\u00e9ssel<\/option><option value=\"circular\">Ciklikus permut\u00e1ci\u00f3<\/option><\/select>\n            <\/div>\n<div class=\"input-group\">\n                <label for=\"permutacioN\">n (elemek sz\u00e1ma):<\/label><br \/>\n                <input type=\"number\" id=\"permutacioN\" class=\"form-control\" min=\"1\" max=\"100\" placeholder=\"P\u00e9ld\u00e1ul: 5\">\n            <\/div>\n<div class=\"input-group\" id=\"permutacioRGroup\" style=\"display: none;\">\n                <label for=\"permutacioR\">r (kiv\u00e1lasztott elemek sz\u00e1ma):<\/label><br \/>\n                <input type=\"number\" id=\"permutacioR\" class=\"form-control\" min=\"1\" max=\"100\" placeholder=\"P\u00e9ld\u00e1ul: 3\">\n            <\/div>\n<p>            <button type=\"button\" id=\"permutacioCalculate\" class=\"btn btn-primary\">Calculate<\/button><br \/>\n            <button type=\"button\" id=\"permutacioReset\" class=\"btn btn-secondary\">T\u00f6rl\u00e9s<\/button>\n        <\/div>\n<div class=\"result-section\" id=\"permutacioResult\" style=\"display: none;\">\n<h3>Result<\/h3>\n<div class=\"result-display\">\n<div class=\"result-item\">\n                    <span class=\"result-label\">Permut\u00e1ci\u00f3k sz\u00e1ma:<\/span><br \/>\n                    <span class=\"result-value\" id=\"permutacioResultValue\">&#8211;<\/span>\n                <\/div>\n<div class=\"result-item\">\n                    <span class=\"result-label\">K\u00e9plet:<\/span><br \/>\n                    <span class=\"result-formula\" id=\"permutacioFormula\">&#8211;<\/span>\n                <\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"info-section\">\n<h3>Inform\u00e1ci\u00f3k<\/h3>\n<ul>\n<li><strong>Egyszer\u0171 permut\u00e1ci\u00f3:<\/strong> n k\u00fcl\u00f6nb\u00f6z\u0151 elem sorrendjeinek sz\u00e1ma<\/li>\n<li><strong>R\u00e9szleges permut\u00e1ci\u00f3:<\/strong> n elem k\u00f6z\u00fcl r elem kiv\u00e1laszt\u00e1sa sorrenddel<\/li>\n<li><strong>Ciklikus permut\u00e1ci\u00f3:<\/strong> k\u00f6rben elhelyezett elemek permut\u00e1ci\u00f3i<\/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. T\u00f6k\u00e9letes v\u00e1laszt\u00e1s di\u00e1koknak, matematikusoknak \u00e9s statisztikusoknak. 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=\"Permutation Calculator \u2013 Permutation Calculations and Combinatorial Operations\" class=\"read-more\" href=\"https:\/\/xn--szmolgp-iwa0f0e.hu\/en\/permutacio-kalkulator-permutacio-szamitasok-es-kombinatorikai-muveletek\/\" aria-label=\"Read more about Permut\u00e1ci\u00f3 Kalkul\u00e1tor &#8211; Permut\u00e1ci\u00f3 Sz\u00e1m\u00edt\u00e1sok \u00e9s Kombinatorikai M\u0171veletek\">Read more<\/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\/en\/permutacio-kalkulator-permutacio-szamitasok-es-kombinatorikai-muveletek\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\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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