Kaitirotiro whakakotahitanga (nCr)
E tatau ana i ngā aratuka ki te kōwhiri i ngā ahanoa r mai i te n ina kore e whai tikanga te raupapa.
Ka whakahōutia ngā hua i te wā e tātuhi ana.
Mo tēnei tātaitai
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?" —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?" — 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 "n choose r" coefficient, the "n choose r" number in Pascal's triangle.
Ko nga pātai e pā ana
He aha te tātai pahekotanga?
nCr = n! / (r! × (n − r)!). Mō ngā ahanoa 10 e mau ana i te 3 i tētahi wā: 120 ngā rōpū rerekē.
He aha te iti iho o te nCr i te nPr?
Ko ngā pahekotanga e whakakāhore ana i te raupapa, nō reira ko ia rōpū kāore i whakaritea e ōrite ana ki ngā whakarerekētanga r! i whakaritea. Koia te take o te nCr = nPr ÷ r!.
He aha te wā e whakamahia ai e au tētahi pahekotanga?
Ki te kore e whai tikanga te raupapa: ko ngā tau whakawhiwhinga, he ringa kāri, te kōwhiringa a te kaimahi, te kōwhiringa rānei i reira ko te rōpū te mea e tatau ana, ehara i te whakaritenga.
He aha te taupūtanga o te taurua?
Ko tētahi atu ingoa mō te nCr, ko te uara "n kōwhiri r" e puta ana i roto i te tautuhinga taurua, ā, ka hanga i ngā tāuru o te tapawhā o Pascal.
He aha te nC0, nCn rānei?
He ōrite ngā mea e rua ki te 1 — he tikanga kotahi ki te kōwhiri i tētahi, ā, he tikanga kotahi ki te kōwhiri i a rātou katoa.
Ka whakaaturia hoki e tēnei utauta nga whakarerekētanga?
He. E whakaatu ana i te nPr = nCr × r! i te taha o te pahekotanga kia taea ai e koe te whakataurite i ngā tatauranga whakaritea me ngā tatauranga kore whakaritea.
API — whakamahi tēnei tātaitai mai i te waehere
E kī ana tēnei tātaitai hei wāhi mutunga kore JSON - kāore he kī e hiahiatia ana. Ka tukuna ngā uara āpure i raro nei hei tohutoro pātai, JSON rānei. Ka pānui te papatono API katoa →
Whakamutunga
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);Ko ngā hua he whakataunga mō te tohutohu ahuwhānui anake, ehara i te tohutohu moni, rongoā, tāke rānei.