Permutation & combination
nPr da nCr, tare da ko ba tare da maimaitawa ba.
Game da Permutation & combination
nPr da nCr, tare da ko ba tare da maimaitawa ba.
Ɓangare ne na sashen “Ƙididdiga” na SmartCalcy. Yana aiki a burauzar ku ba tare da asusu ba, yana amfani da kuɗinku da ma'aunanku (canza su a saman shafin), kuma yana ba da ƙiyasi don bayani kawai, don haka duba jagorar hukuma kafin ku dogara da sakamako.
Yadda ake amfani da Permutation & combination
Abin da yake lissafawa da lokacin amfani da shi
Yana ƙidaya permutations da combinations, tare da ko ba tare da maimaitawa ba, da factorials.
Yadda ake amfani da shi, mataki-mataki
- Shigar da n da r.
- Zaɓi permutation ko combination.
- Zaɓi ko an yarda da maimaitawa.
- Karanta adadin.
Ma'anar kowace shigarwa
- Jimillar abubuwa (n) – Farawa at 10.
- Waɗanda aka zaɓa (r) – Farawa at 3.
Yadda ake karanta sakamako
- Combination (jeri ba shi da muhimmanci) – The headline answer. In the default example it reads 120 (Permutations (order matters): 720).
- Permutation tare da maimaitawa (nʳ) – Default Misali: 1,000.
- Combination tare da maimaitawa – Default Misali: 220.
Dabarar lissafi
nPr = n! ÷ (n − r)!. nCr = n! ÷ (r!(n − r)!). With repetition: permutations n^r, combinations (n + r − 1)Cr.
Misali da aka warware
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.
Zato da iyakoki
- n and r are whole numbers and r ≤ n when repeats are not allowed.
Kurakuran da aka saba yi
- Using a permutation when order does not matter.
- Overflowing with large factorials.
Tambayoyin da ake yawan yi
Hanyoyi nawa ne don zaɓar 3 daga 10?
Combinations 120, ko tsare-tsare masu jeri 720.
Kayan aiki masu alaƙa
Cikakkun bayanai
- Permutation tare da maimaitawa (nʳ)
- 1,000
- Combination tare da maimaitawa
- 220