Step 1 :Given the permutation problem, we are asked to evaluate \(\mathrm{P}(14,2)\).
Step 2 :The permutation of n objects taken r at a time, denoted as \(\mathrm{P}(n, r)\), is calculated as \(\frac{n!}{(n-r)!}\). In this case, n is 14 and r is 2. So, we need to calculate \(\frac{14!}{(14-2)!}\).
Step 3 :Substituting the values of n and r, we get \(\frac{14!}{(14-2)!}\) = \(\frac{14!}{12!}\).
Step 4 :Solving this, we get the permutation as 182.0.
Step 5 :So, the final answer is \(\mathrm{P}(14,2)=\boxed{182}\).