Àwọn

Count the ways to choose r items from n when order does not matter.

Àwọn ìṣàmúlò-ètò (nCr) —

Àwọn ìṣàmúlò-ètò —

Àwọn ìṣàmúlò-ètò àìṣàmúlò-ètò (nPr) —

Àwọn Àtòjọ-ẹ̀yàn àwọn ìṣàmúlò-ètò

Ńlà àwọn àwọn ààtò àtòjọ-ẹ̀yàn yìí?

Àkóónú ìṣàmúlò-ètò yìí

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?" —The formula is nCr = n! / (r! × (n − r)!).The formula is nCr = n! / (r! × (n − r)!).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 "Combinations 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 counts once.

Àwọn Àtòjọ-ẹ̀yàn

Kini àwọn ìṣàmúlò-ètò ìṣàmúlò-ètò?

nCr = n! / (r! × (n − r)!). Fun 10 àwọn àwọn ààyè-iṣẹ́ tí a yá 3 nígbà kan: 120 àwọn ẹgbẹ̀tàmì-àyè-iṣẹ́.

Kini idi ti nCr ti kù ju nPr lọ?

Àwọn ìṣàmúlò-ètò náà kò ní ìjádè, láti jẹ́ pe àwọn ẹgbẹ̀tà tí a kò fi àwọn àwọn ìṣàmúlò-ètò àwọn à

Njẹ́ mò yẹ́ ki mò ló àwọn ìṣàmúlò-ètò?

When order does not matter: lottery numbers, a hand of cards, choosing a committee, or any selection where the group is what counts, not its arrangement.

Àwọn Ìṣàmúlò-ètò

O jẹ orukọ miiran fun nCr, iye "n yan r" ti o han ni teorem binomial ati pe o ṣe awọn iwọle ti triangle Pascal.

Kini nC0 tabi nCn?

Gbogbo àwọn náà ní 1 - àwọn náà ní ìṣàmúlò-ètò kan láti yaǹrọ̀, àti ìṣàmúlò-ètò kan láti yaǹrọ̀ gbogbo àwọn náà.

Àwọn ìṣàmúlò-ètò àwọn ìṣàmúlò-ètò

Ya. O fi nPr = nCr × r! fihan ní pàtó àwọn ìṣàmúlò-ètò láti jẹ́ pé o lè báwọn àwọn

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/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);

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()`