Combination Calculator (nCr)

R elementleri n'den saýlamak üçin ýollary saýlaň, eger tertibi ähmiýeti bolmadyk bolsa.

Birikdir
Formul
Tertibli

Netijeler ýazýan wagtyň täzelener.

Bu hasapçy hakda

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 120 distinct groups.Combinations answer "how many groups?"CombinationsCombinations answer "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. 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 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

Köp soralýan soraglar

Birikdirme formula näme?

nCr = n! / (r! × (n − r)!). For 10 items taken 3 at a time: 120 different groups.

Näme üçin nCr nPr'den kiçi?

Kombinasiýalar tertibi göz öwürýär, şonuň üçin her tertibi bolmadyk topar r! tertibli permutasionlere gabat gelýär. Şonuň üçin nCr = nPr ÷ r!

Men näçe gezek bir kombinasiýa ulanyp biljek?

Resimiň ähmiýeti ýok wagty: lotereya sanlary, kart el, komitet saýlamak, ýa-da her hili saýlama, bu ýerde topar, onuň tertibi däl, ähmiýetlidir.

Binomial koeffisiýent näme?

Bu nCr üçin başga bir at, "n choose r" baha binomial teoremde görünýär we Pascal üçburçlugynyň girdejilerini düzýär.

nC0 ýa-da nCn näme?

Ekisi 1 deňdir - hiç birini saýlamak üçin bir ýol bar, we olardan hemmesini saýlamak üçin bir ýol bar.

Bu esbap permutasionlary görkezýämi?

Eý. Ol nPr = nCr × r! kombinasiýasy bilen görkezýär, şonuň üçin siz tertiblenen we tertiblenmedik sanlary deňeşdirip bilersiňiz.

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API — bu hasapçyny koddan ullan

Bu hasapçyny azat JSON ahtar noktasy hökmünde çagyr - açar gerek däl. Aşakdaky meýdança mykdarlaryny soragyň parametrleri ýa-da JSON hökmünde iber. Eňlisçe senedleri oka →

_Soňky

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);

Netijeler diňe umumy ýardam üçin hasaplanypdyr, maliýe, lukmançylyk ýa-da salgyt maslahaty üçin däl.