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Discrete Structures/Counting.md

@@ -9,7 +9,8 @@ type: theoretical
 A permutation is an arrangement of objects in a specific order.
 
 - Without Repetition[^1]: The number of permutations of $n$ distinct objects taken $r$ at a time is denoted by $nP_r$ and calculated as:
-  $$
+  Let f (n) = 7n + 3n2 + n2n and g(n) = 3n  
+n . Prove that f (n) = O(g(n))$$
   nP_r = \frac{n!}{(n - r)!}
   $$