Kifaa cha kuunganisha sauti (nCr)
Hesabu njia za kuchagua vitu vya ridhini kutoka kwa n wakati utaratibu haujali kitu.
Matokeo yanakuwa bora zaidi unapochapa.
Kuhusu kifaa hiki cha kupigia hesabu
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.
Maswali yaliyoulizwa mara nyingi
Njia hiyo ya kuchanganya ni nini?
Cr = n! / (r!) Kwa vitu 10 vilivyochukuliwa 3 kwa wakati mmoja: vikundi tofauti 120.
Kwa nini nCr ni ndogo kuliko nPr?
Viunganishi vya muziki hupuuza utaratibu, kwa hiyo kila kikundi kisicho na utaratibu chapatana kwa namna ya kitu!
Nitumie mchanganyiko wakati gani?
Amri isipohusu kitu chochote: nambari za bahati nasibu, mkono wa kadi, kuchagua halmashauri, au uteuzi wowote mahali ambapo kikundi hicho ndicho cha maana, si mpango wake.
Kizaa - ng'ombe wa aina ya binomeffesis ni nini?
Ni jina jingine la nCr, "kifaa kinachopendwa" ambacho hutokea katika pembe mbili za mlima huo na kufanyiza michoro ya pembetatu ya Pascal.
nC0 au nCn ni nini?
Both equal 1 — there is one way to choose none, and one way to choose all of them.
Je, kifaa hicho pia kinaonyesha vipimo mbalimbali?
Ndiyo. inaonesha nPr = nCr juar jua!! with the with the with the with sociption ili uweze kulinganisha amri na mambo yasiyo na mipaka.
API bustanini hutumia kifaa hiki cha hesabu kutoka kwenye mfumo wa sheria
Ipigie simu kifaa hiki cha kupigia hesabu kama Junse É not doot toder. Chochote unachoacha kinatumia kiwango kilekile cha mwisho ambacho ukurasa huu haujakamilika; parameta isiyojulikana ni 400, si sufuri kimya kamwe. Soma habari kamili za API docs →
keyboard label
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);
Matokeo ni makadirio ya mwongozo wa ujumla, si wa kifedha, wa kitiba au wa kodi tu.