Kalkaaliyeyaasha isku dhafan (nCr)
Tixraac hababka si ay u doortaan r waxyaabaha ka n marka amarku ma aha wax muhiim ah.
Natiijooyinka cusbooneysiinta sida aad ku qorto.
Ku saabsan Kalkaaliyahan
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?"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 called the
Su'aalaha badanaa la isweydiiyo
Waa maxay foomka isku dhafka ah?
nCr = n! / (r! × (n − r)!). 10 waxyaabaha la qaaday 3 mar kasta: 120 kooxo kala duwan.
Maxaa nCr ka yar nPr?
Isku-darka ku dhaafaan amar, sidaas darteed koox kasta oo aan la qorshayn ku habboon r! permutations la qorsheeyay. Taasi waa sababta nCr = nPr ÷ r!.
Goorma ayaan isticmaali karaa isku dhafka?
Marka amarku ma aha wax muhiim ah: tirada lottery, gacanta kaarka, doorasho guddi, ama doorasho kasta oo ay kooxdu tahay waxa ay tirakoobka, ma aha qaabkeeda.
Waa maxay coefficient binomial?
Waa magac kale oo loogu talagalay nCr, qiimaha "n dooro r" oo ku muuqda qiyaasta binomial iyo qaabka soo gelitaanka saddex geesoodka Pascal.
Maxaa nC0 ama nCn?
Labaduba waa isku mid 1 — waxaa jira hab mid ah in ay doortaan midna, iyo hab mid ah in ay doortaan oo dhan oo iyaga ka mid ah.
Ma qalabkani wuxuu muujinayaa permutations?
Haa. Waxay muujinaysaa nPr = nCr × r! la socda isku dhafka si aad u barbar dhigi kartaa tirada loo qorsheeyay iyo unordered.
API — isticmaal xisaabinta ka code
Wici xisaabinta sida free JSON endpoint - key ma loo baahan yahay. Dib u soo dir qiimaha goobta hoos ku qoran sida parameters su'aal ama JSON. Akhri dhammaan API xuquuqda →
Xarafka
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);Natiijooyinka waa tirakoobka loogu talagalay tilmaamaha guud oo keliya, maaha dhaqaale, caafimaad ama talo bixin canshuur.