Samsetning Reiknivél (nCr)
Telja leiðir til að velja r hluti úr n þegar röð skiptir ekki máli.
Niðurstöður uppfæra eins og þú slærð.
Um þessa reiknivél
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. This calculator returns the exact count, the formula, and the matching number of ordered arrangements (nPr) for comparison. This calculator returns the exact count, the formula, and the matching number of ordered arrangements (nPr) for comparison. nCr.CombinationsCombinations answer "how many groups?" — the odds in a lottery, the number of possible five-card poker hands, ways to pick a committee, or terms in a binomial expansion. The value nCr.CombinationsCombinations answer "how many groups?"CombinationsCombinations answer "how many groups?" — the odds in a lottery, the number of possible five-card poker hands, ways to pick a committee, or terms in a binomial expansion. CombinationsCombinations answer "how many groups?"CombinationsCombinations answer "how many groups?" — the odds in a lottery, the number of possible five-card poker hands, ways to pick a committee, or terms in a binomial expansion. CombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinationsCombinations
Algengar spurningar
Hvað er samsetningarformúlan?
nCr = n! / (r! × (n − r)!). Fyrir 10 atriði tekin 3 í einu: 120 mismunandi hópa.
Hvers vegna er nCr minni en nPr?
Samsetningar hunsa röð, þannig að hver óskiptur hópur samsvarar r! skipuðum skiptingum. Þess vegna er nCr = nPr ÷ r!.
Hvenær ætti ég að nota samsetningu?
Þegar röð skiptir ekki máli: happdrætti tölur, hönd af spilum, velja nefnd, eða hvaða val þar sem hópurinn er það sem telst, ekki fyrirkomulag þess.
Hvað er tvinntölustuðull?
Það er annað nafn fyrir nCr, „n velur r“ gildi sem birtist í tvíundareglunni og myndar færslur í þríhyrning Pascals.
Hvað er nC0 eða nCn?
Bæði jafngildir 1 — það er ein leið til að velja enginn, og ein leið til að velja alla.
Sýnir þetta tól einnig permutations?
Já. Það sýnir nPr = nCr × r! við hliðina á samsetningunni svo þú getir borið saman skipuð og óskipt tölur.
API — nota þessa reiknivél frá kóða
Hringdu í þessa reiknivél sem ókeypis JSON endapunkt - enginn lykill þarf. Sendu gildi reitsins hér að neðan sem fyrirspurnarbreytur eða JSON. Lestu API skjölin í heild sinni →
Endir
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);Niðurstöður eru áætlanir um almenna leiðbeiningar aðeins, ekki fjárhagslega, læknisfræðilega eða skattaráðgjöf.