Evaluate the given expression and express the result using the usual format for writing numbers (instead of scientific notation) \[ { }_{50} \mathrm{P}_{2} \] \[ { }_{50} \mathrm{P}_{2}= \]

Step 1 ：The given expression is a permutation. In mathematics, a permutation of a set is an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements. The word 'permutation' also refers to the act or process of changing the linear order of an ordered set.

Step 2 ：The formula for permutation is given by: \(_{n}P_{r} = \frac{n!}{(n-r)!}\) where: n is the total number of items, r is the number of items to choose, n! is the factorial of n, (n-r)! is the factorial of (n-r).

Step 3 ：In this case, n = 50 and r = 2. So, we need to calculate: \(_{50}P_{2} = \frac{50!}{(50-2)!}\)

Step 4 ：By calculating the above expression, we get the permutation as 2450.0

Step 5 ：Final Answer: \(_{50} \mathrm{P}_{2} = \boxed{2450}\)