Problem

Evaluate the permutation. \[ \mathrm{P}(14,2) \] \[ P(14,2)=\square \] (Simplify your answer.)

Solution

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 \(\mathrm{P}(14,2)=\boxed{182}\).

From Solvely APP
Source: https://solvelyapp.com/problems/2nMlLCQeN9/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download