I-Calculator ye-Permutation (nPr)
Bala ulungelelaniso olucwangcisiweyo lwee-r izinto ezikhethiweyo kwi-n.
Iinketho ze projekti
Malunga nale Calculator
A permutation counts how many ways you can arrange r items chosen from a set of n, where order matters — so first, second and third place are three different outcomes. This calculator returns the exact count and the formula it used, even for large n and r.
The formula is nPr = n! / (n − r)!, which is the same as multiplying the top r numbers counting down from n. For 10 items taken 3 at a time, that is 10 × 9 × 8 = 720. Choosing none gives nP0 = 1, and arranging all of them gives nPn = n!. You cannot choose more items than you have, so if r is greater than n the tool returns a dash.
Permutations answer "how many ordered sequences?" — the number of possible race finishes, seating orders, PIN codes or ranked shortlists. When order does not matter, use a combination instead, which is always the smaller count.
Imibuzo ebuza rhoqo
Yintoni utshintsho phakathi kokuguqulwa kunye nokudityaniswa?
Kwindlela yokuguqula iimpazamo (i-first, second, third are different outcomes); kwiqela lezinto ayisebenzi. Kuhlala kukho iindidi ezininzi zokuguqula iimpazamo njengeqela lezinto.
Yintoni ifomula yokutshintsha?
nPr = n! / (n − r)!. Kwizinto ezili-10 ezithathwe 3 ngexesha: 10 × 9 × 8 = 720.
Ndifanele ndisebenzise njani utshintsho?
Xa ukulandelana kubaluleke: ukudwelisa abagqibayo, ukugcwalisa indawo yokuqala/yesibini/yesithathu, ukuphumla kwabantu kumgca, okanye ukwakha ikhowudi elandelelanayo.
Yintoni ebangela ukuba i-r ibe mkhulu kune-n?
Awunakucwangcisa izinto ezininzi kunezona zikhoyo, ngoko ke isiphumo asichaziwanga kwaye isixhobo sibuyisela umgca.
Yintoni i-nP0?
I-1 — kukho indlela enye yokulungisa into engasebenziyo, ukulungisa okungenanto.
Yintoni i-nPn?
Ilingana ne n!, kuba ukucwangcisa zonke ii n zinto ngokulandelana kufanayo njenge factorial epheleleyo. Umzekelo 4P4 = 4! = 24.
API — sebenzisa le calculator ukusuka kwikhowudi
Nceda le khadi lemali njengendawo esemva ye-JSON ekhululekileyo - akukho qhosha lifunekayo. Thumela amaxabiso endawo ezantsi njengeparameter yombuzo okanye i-JSON. Nantoni na oyenzayo isebenzisa okungagqibekanga okufanayo eli phepha ligqityiwe ngaphambili; iparameter engaziwayo yi 400, ayikho i zero ekhululekileyo. Funda i-API epheleleyo →
Incopho yesiphelo
GET https://calculator.free/api/v1/permutation/curl
curl "https://calculator.free/api/v1/permutation/?n=10&r=3"JavaScript fetch()
const r = await fetch(
"https://calculator.free/api/v1/permutation/?" + new URLSearchParams({
"n": "10",
"r": "3"
}));
const data = await r.json();
console.log(data.results);Results are estimates for general guidance only, not financial, medical or tax advice.