ម៉ាស៊ីនគិតលេខបន្សំ (nCr)
រាប់វិធីដើម្បីជ្រើសធាតុ r ពី n ពេលលំដាប់មិនសំខាន់ទេ & # 160; ។
លទ្ធផលធ្វើឲ្យទាន់សម័យតាមដែលអ្នកវាយ & # 160; ។
អំពីម៉ាស៊ីនគិតលេខនេះ
combination counts how many ways you can choose r items fromaset of n when order does not matter — picking the same group inadifferent sequence counts once. This calculator returns the exact count, the formula, and the matching number of ordered arrangements (nPr) for comparison. Choosing none or all gives nC0 = nCn = 1, and as with permutations, r cannot exceed n. A combination counts how many ways you can choose r items fromaset of n when order does not matter — picking the same group.CombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombination
សំណួរដែលសួរញឹកញាប់
តើអ្វីជារូបមន្តបន្សំ & # 160;?
nCr = n! / (r! × (n − r)!). សម្រាប់ 10 ធាតុដែលបានយក3នៅពេល: 120 ក្រុមផ្សេងគ្នា។
ហេតុអ្វីបានជា nCr តិចជាង nPr?
សមាសធាតុមិនអើពើលំដាប់ ដូច្នេះក្រុមមិនបានរៀបរៀងគ្នាត្រូវគ្នាទៅនឹង r! លំដាប់ permutations ។ ហេតុនេះហើយបានជា nCr = nPr ÷ r! ។
ពេលណាខ្ញុំគួរប្រើការផ្សំ?
ពេលដែលលំដាប់មិនសំខាន់ទេ ៖ លេខឡូតូ ដៃបៀ ជ្រើសគណៈកម្មការ ឬជម្រើសណាមួយដែលក្រុមគឺជាអ្វីដែលរាប់មិនមែនការរៀបចំរបស់វាទេ ។
តើអ្វីជាសមាមាត្រប៊ីនូមីម?
វាជាឈ្មោះផ្សេងទៀតសម្រាប់ nCr តម្លៃ "n ជ្រើស r" ដែលលេចឡើងក្នុងទ្រឹស្តីពីរនិមិត្តសញ្ញា និងបង្កើតធាតុនៃត្រីកោណរបស់ Pascal & # 160; ។
តើអ្វីជា nC0 ឬ nCn?
ទាំងពីរស្មើនឹង ១ — មានវិធីមួយដើម្បីជ្រើសគ្មានទេ និងវិធីមួយដើម្បីជ្រើសពួកគេទាំងអស់ ។
តើឧបករណ៍នេះបង្ហាញការផ្លាស់ទីដែរឬទេ & # 160;?
បាទ. វាបង្ហាញ nPr = nCr × r! ក្បែរការរួមបញ្ចូលគ្នាដូច្នេះអ្នកអាចប្រៀបធៀបចំនួនដែលបញ្ជានិងមិនបញ្ជា.
API — ប្រើម៉ាស៊ីនគិតលេខនេះពីកូដ
ទូរស័ព្ទទៅម៉ាស៊ីនគិតលេខនេះជាចំណុចបញ្ចប់ JSON ឥតគិតថ្លៃ - គ្មានគ្រាប់ចុចដែលត្រូវការ & # 160; ។ ផ្ញើតម្លៃវាលខាងក្រោមជាប៉ារ៉ាម៉ែត្រសំណួរ ឬ JSON & # 160; ។ អានឯកសារ API ពេញលេញ →
ចំណុចបញ្ចប់
GET https://calculator.free/api/v1/combination/
curl
curl "https://calculator.free/api/v1/combination/?n=10&r=3"
JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/combination/?" + new URLSearchParams({
"n": "10",
"r": "3"
}));
const data = await r.json();
console.log(data.results);
លទ្ធផលគឺការប៉ាន់ប្រមាណសម្រាប់តែការណែនាំទូទៅប៉ុណ្ណោះ, មិនហិរញ្ញវត្ថុ, វេជ្ជសាស្ត្រឬដំបូន្មានពន្ធ.