Vibali na michanganyiko
nPr na nCr, pamoja na au bila kurudia.
Kuhusu Vibali na michanganyiko
nPr na nCr, pamoja na au bila kurudia.
Sehemu ya kitengo cha “Takwimu” cha SmartCalcy. Kinaendeshwa kwenye kivinjari chako bila akaunti, kinatumia sarafu na vipimo vyako (vibadilishe juu ya ukurasa), na kinatoa makadirio kwa taarifa tu, kwa hiyo angalia mwongozo rasmi kabla ya kutegemea matokeo.
Jinsi ya kutumia Vibali na michanganyiko
Kinachohesabu na wakati wa kukitumia
Kinahesabu vibali (permutations) na michanganyiko (combinations), kwa au bila kurudia, na faktoria.
Jinsi ya kukitumia, hatua kwa hatua
- Weka n na r.
- Chagua kibali au mchanganyiko.
- Chagua kama marudio yanaruhusiwa.
- Soma idadi.
Maana ya kila ingizo
- Jumla ya vitu (n) – Inaanza at 10.
- Vilivyochaguliwa (r) – Inaanza at 3.
Jinsi ya kusoma matokeo
- Michanganyiko (mpangilio hauna maana) – The headline answer. In the default example it reads 120 (Permutations (order matters): 720).
- Vibali vyenye kurudia (nʳ) – Default Mfano: 1,000.
- Michanganyiko yenye kurudia – Default Mfano: 220.
Fomula
nPr = n! ÷ (n − r)!. nCr = n! ÷ (r!(n − r)!). With repetition: permutations n^r, combinations (n + r − 1)Cr.
Mfano uliofanyiwa kazi
With the starting entries (Total items (n): 10, Chosen (r): 3), the calculator shows combinations (order doesn’t matter) of 120, Permutations (order matters): 720. It also reports permutations with repetition (nʳ) 1,000; combinations with repetition 220.
Dhana na mipaka
- n and r are whole numbers and r ≤ n when repeats are not allowed.
Makosa ya kawaida
- Using a permutation when order does not matter.
- Overflowing with large factorials.
Maswali yanayoulizwa mara kwa mara
Kuna njia ngapi za kuchagua 3 kati ya 10?
Michanganyiko 120, au mipangilio 720 yenye mpangilio.
Zana zinazohusiana
Maelezo
- Vibali vyenye kurudia (nʳ)
- 1,000
- Michanganyiko yenye kurudia
- 220