Hesabu ya Mfumo wa Kuhesabu (nPr)
Hesabu utaratibu wa ridhimu iliyochaguliwa kutoka n.
Matokeo yanakuwa bora zaidi unapochapa.
Kuhusu kifaa hiki cha kupigia hesabu
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.
Maswali yaliyoulizwa mara nyingi
Kuna tofauti gani kati ya uwiano na mchanganyiko?
Katika utaratibu wa nambari (kwanza, pili, ya tatu ni matokeo tofauti); katika mchanganyiko haifanyi hivyo.
Kanuni ya misombo ya mwezi mmoja ni nini?
nPr = n! / (n − r)!. For 10 items taken 3 at a time: 10 × 9 × 8 = 720.
Ni wakati gani nitumie tarakimu?
Wakati utaratibu unapo mambo: zoezi la mwisho la daraja, kujaza sehemu za kwanza/za pili/za tatu, kuketi watu kwenye mstari, au kujenga mfumo wa sheria.
Ni nini hutukia ikiwa r rai ni kubwa kuliko n?
Huwezi kupanga vitu vingi kuliko ulivyo navyo, kwa hiyo matokeo hayahesabiki na chombo hicho kinarudi haraka.
What is nP0?
Ni 1 bustani hiyo ambayo ina njia moja ya kupangia mambo, yaani, mpango wa bure.
nPn ni nini?
Ni sawa na n!, kwa sababu kupanga vitu vyote kwa utaratibu ni sawa na kuhusishwa kabisa. Kwa mfano 4P4 = 4! = 24.
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/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);Matokeo ni makadirio ya mwongozo wa ujumla, si wa kifedha, wa kitiba au wa kodi tu.