I-Calculator yokuxhuma (nCr)
Bhala izindlela zokukhetha i-r izinto kusuka ku-n uma ukulandelana kungabalulekile.
Iziphetho zivuselelwa uma ubhala.
Malunga nale khadi
combination counts how many ways you can choose r items from a set of n when order does not matter — picking the same group in a different 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 from a set of n when order does not matter — picking the same group in a different sequence.Combinations answer "how many groups?" —The formula is nCr = n! / (r! × (n − r)!). For 10 items taken 3 at a time there are 120CombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinations
Imibuzo ebuzwa kaningi
Yini ifomu lokuxhuma?
nCr = n! / (r! × (n − r)!). Izinhlamvu ezingu-10 ezithathwe 3 ngasikhathi sinye: amaqembu ahlukene angama-120.
Kungani i-nCr incane kuna-nPr?
Izixhumi zi ignore isinqumo, ngakho-ke iqembu ngalinye elingenakukhethwa lihambisana ne-r! ekhethiwe permutations. Lokhu yisizathu sokuthi nCr = nPr ÷ r!.
Ngabe kufanele ngisebenzise isixhumi?
Uma ukulandelana kungabalulekile: ama-lottery numbers, isandla sekhadi, ukukhetha ikomidi, noma noma yiluphi ukhetho lapho iqembu liyilokho okubhekwayo, hhayi ukulungisa kwayo.
Yini i-binomial coefficient?
Lokhu kuyigama elisha le nCr, i "n khetha r" ixabiso elivela kwitheorem ye-binomial futhi lidala izingeniso zesithathu se-Pascal.
Yini i-nC0 noma i-nCn?
Zonke zilingana 1 — kunendlela eyodwa yokukhetha akukho, nendlela eyodwa yokukhetha zonke.
Ingabe lesi sisetshenziswa sibonisa futhi izishintsho?
Yebo. Ibonisa i-nPr = nCr × r! ngaphaya kokuhlanganisa ukuze ulinganise ukulinganiselwa okulungisiwe nokungenzeka kungalungisiwe.
API — sebenzisa le calculator kusuka kukhodi
Nquma le kalkuli njengendawo ephelezelwa i-JSON - akukho isitshixo esidingekayo. Thumela amaxabiso endawo ngezansi njengepharamitha yombuzo noma i-JSON. Funda i-API egcwele →
Ingxenye yendawo
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);Izibalo ziyisilinganiso esisetshenziswa ukuqondisa kuphela, hhayi ukucebisa ngezimali, ukwelashwa noma ukukhokha.