Kubatanidza Calculator (nCr)
Kuverenga nzira dzokusarudza r zvinhu kubva n kana chirongwa hachidi chinhu.
Zvinyorwa zvinogadziridzwa paunenge uchinyora.
Nezve iyi kalkulator
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.
The formula is nCr = n! / (r! × (n − r)!). For 10 items taken 3 at a time there are 120 distinct groups. Combinations are always smaller than permutations because each unordered group corresponds to r! different orderings, so nCr = nPr ÷ r!. Choosing none or all gives nC0 = nCn = 1, and as with permutations, r cannot exceed n.
Combinations 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 is also called the binomial coefficient, the "n choose r" number in Pascal's triangle.
Zvimwe zvinobvunzwa zvakanyanya
Chii chinonzi combination formula?
nCr = n! / (r! × (n − r)!). For 10 items taken 3 at a time: 120 different groups.
Nei nCr iri shoma kupfuura nPr?
Kubatanidza kusingatarisike chirongwa, saka chero unordered sangano anowirirana r! akachengetwa permutations. That is why nCr = nPr ÷ r!.
Ndiani anofanira kushandisa mishonga miviri?
Kana chirongwa chisina kunaka: lottery numbers, a hand of cards, choosing a committee, or any selection where the group is what counts, not its arrangement.
Chii chinonzi binomial coefficient?
Ichi ndicho chinonzi nCr, chiratidzo che "n choose r" chinoonekwa muBinomial theorem uye chinoumba mazita ePascal's triangle.
Chii chinonzi nC0 kana nCn?
Vaviri vakaenzana 1 — pane imwe nzira yekusarudza hapana, uye imwe nzira yekusarudza vese.
Chii chinonzi permutation?
Yeah. It shows nPr = nCr × r! alongside the combination so you can compare ordered and unordered counts.
API — kushandisa iyi kalkulator kubva code
Nhare iyi calculator semahara JSON endpoint - hapana chikuru zvinodiwa. Kutumira nzvimbo mavara pasi separameter query kana JSON. Chii zvachose chaunoisa kunze chinoshandisa default iyo peji iri rakasviba nayo; parameter isiri yechokwadi inonzi 400, uye haisi zero. Tora yakazara API docs →
Endpoint
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);Zviratidzo zvemubvunzo ndezvekufungidzira kwechinangwa chekudzidzisa chete, kwete zvemari, zvehutano kana zvemari.