Àwọn

Àwọn àwọn ààtò àwọn ààtò àwọn àwọn àkóónú àwọn àwọn ààtò àwọn ààtò àwọn àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò àwọn ààtò

Àwọn ìṣàfarawé àwọn ìṣàmúlò-ètò —

Àwọn ìṣàmúlò-ètò —

Àwọn Àtòjọ-ẹ̀yàn àwọn ìṣàmúlò-ètò

Ńlà àwọn àwọn ààtò àtòjọ-ẹ̀yàn yìí?

Àkóónú ìṣàmúlò-ètò yìí

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.

Àwọn Àtòjọ-ẹ̀yàn

Kini ìfaràǹwọ́ laarin ìṣàfarawe-ìṣàmúlò-ètò náà àti ìṣàmúlò-ètò kan?

In a permutation order matters (first, second, third are different outcomes); in a combination it does not. There are always at least as many permutations as combinations.

Àwọn ìṣàmúlò-ètò

nPr = n! / (n − r)!. For 10 items taken 3 at a time: 10 × 9 × 8 = 720.

Njẹ́ mò yẹ́ ki mò lo ìṣàfarawé àwọn àwọn ìṣàmúlò-ètò?

Ti o ba ti o ba fẹ: fi awọn ti o ti pari iṣẹ rẹ han, fi awọn ibi akọkọ/kekere/kekere, fi awọn eniyan si ibi kan, tabi ṣe agbekalẹ koodu ti a ti ṣeto.

Àwòrán Tí o bá jẹ́ pé r jú n lọ?

O kò lè fi àwọn àwọn àmì-ìwé ààyè àwọn àwọn àmì-ìwé ààyè

Kini nP0?

O jẹ 1 — o ni ọna kan ti o tọka si tí a bá fi ṣeto ohunkohun, ṣeto àwọn àwọn ààyè-iṣẹ́ àìpàlẹ̀.

Kini nPn?

Ó jẹ́ àwọn nǹkan n!, nitorí pé ìṣàmúlò-ètò àwọn nǹkanínú ìṣàmúlò-ètò náà jẹ́ bí àwọn nǹkan fákitoríal̀. Fun àwọn ààyè-iṣẹ́ 4P4 = 4! = 24.

API — ló àwọn ìṣàmúlò-ètò yìí láti inú ìṣàmúlò-ètò

Fi àwọn ìṣàmúlò-ètò yìí kọ̀ǹpútà yìí láti jẹ́ ààyè-iṣẹ́ JSON tí a tí fi pamọ́ - kò ní bọ́tìnì kan tí a fẹ́. Fi àwọn fálù ààyè-iṣẹ́ sílẹ̀ sí bí àwọn àwọn ìṣàmúlò-ètò àti JSON. Anything you omit uses the same default this page is pre-filled with; an unknown parameter is a 400, never a silent zero. Ka àwọn àkọlé API kíkún →

Àwọn Ààyè Ìjánu-ìṣàmúlò-ètò

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.

Àkóónú ìṣàmúlò-ètò yìí

Àwọn Àtòjọ-ẹ̀yàn

Àwọn Ìṣàmúlò-ètò Ìṣàmúlò-ètò

Àwọn Ààyè Ìjánu-ìṣàmúlò-ètò

curl

JavaScript fetch()

JavaScript `fetch()`