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--- en:ars_combinatoria [2024/06/22 13:50] – brahmantra
+++ en:ars_combinatoria [2024/07/29 10:38] () – brahmantra
@@ 1: / 1: @@
 ====== ARS COMBINATORIA ======
-^ HINDI  ^  symbol  ^  Symbol Name  ^ Meaning / definition                         ^  Example                 ^
-|        |  n!      |  factorial    |  n! = 1⋅2⋅3⋅...⋅n                            |  5! = 1⋅2⋅3⋅4⋅5 = 120    |
-|        |  nPk     |  permutation  |  _{n}P_{k}=\frac{n!}{(n-k)!}                 |  5P3 = 5! / (5-3)! = 60  |
-|        |  nCk     |  combination  |  _{n}C_{k}=\binom{n}{k}=\frac{n!}{k!(n-k)!}  |  5C3 = 5!/[3!(5-3)!]=10  |
-  * Art of combinations and permutations. We can get 3 combinations with 2 objects. lets suppose we have 2 objects called {A , B } , we can get 3 combinations with repetition of AA , BB and one the real combination AB .
-  * When we have 3 objects {A,B,C) and you choose only two objects to make those combinations you will get 6 Combinations with repetition {AA,AB/BA,AC/CA,BB,BC/CB,CC } and without repetition you will get only 3 { AB/BA,AC/CA,BC/CB }

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