Kikokotoo cha mpangilio na mchanganyiko
Hesabu nPr, nCr na faktoria.
Hufanya kazi kwenye kivinjari chako. Faili zako hazitoki kamwe kwenye kifaa. Tazama jinsi ya kuthibitisha
…
Jinsi ya kufanya
- 1Jaza visanduku
Andika namba zako au chagua chaguo unazohitaji.
- 2Angalia matokeo
Jibu husasishwa mara moja unapobadilisha thamani.
- 3Litumie
Nakili matokeo au yaandike. Hakuna kinachotumwa popote.
About this tool
Enter n, the number of items, and r, how many you choose. You get nPr (permutations), nCr (combinations), n factorial, and the counts when repeats are allowed. Handy for probability, schedules and lottery questions.
When to use it
Work out nPr, nCr and factorials.
Tips
Order matters for permutations, not for combinations.
Privacy
Everything runs in your browser, so your data is not uploaded or stored.
Choosing the right one
Use permutations when the order matters, such as a race podium or a PIN. Use combinations when it does not, such as choosing a committee. nCr is always smaller than or equal to nPr.
Mfano uliotatuliwa
With the boxes at their starting values (n (total items): 10; r (items chosen): 3), the tool shows: n factorial (n!): 3,628,800; Permutations with repetition (nʳ): 1,000; Combinations with repetition: 220; Permutations nPr: 720; Combinations nCr: 120. Change any box to see your own numbers. The result updates as you type, and nothing leaves your browser.
Vidokezo vya matokeo bora
Angalia kila kisanduku kabla ya kuamini matokeo, kwa sababu nambari moja isiyo sahihi hubadilisha jibu zima. Tumia nambari kamili kutoka kwenye hati ya mshahara, ankara, cheti au mkataba na uandike tarehe uliyohesabu. Viwango, vizingiti na sheria hubadilika mara kwa mara, kwa hivyo kwa kodi, ada na masuala ya kisheria chukulia matokeo kuwa makadirio na uyathibitishe na chanzo rasmi kilichotajwa kwenye ukurasa huu. Unaweza kujaribu hali nyingi unavyotaka; hakuna kinachohifadhiwa wala kutumwa na kupakia upya ukurasa husafisha visanduku.
Kwa ufupi
- Kategoria: Zana za kila siku
- Hufanya kazi kwenye kivinjari, bila usajili, bila kupakia.
- Taarifa unazoingiza hubaki kwenye kifaa chako.
- Inapatikana kwa lugha nyingi.
- Maudhui yalikaguliwa mwisho:
Maswali yanayoulizwa mara kwa mara
What is the difference between nPr and nCr?
nPr counts ordered arrangements. nCr counts groups where order does not matter, so it is always smaller or equal.
What are the limits?
n up to 170 and r not larger than n.
What is nCr?
The number of ways to choose r items from n without order.
What is nPr?
The number of ordered arrangements of r from n.
What is a factorial?
n! is the product of all whole numbers from 1 to n, for example 5! is 120.