Problem

Perform the indicated calculation. \[ { }_{50} P_{2} \]

Solution

Step 1 :The problem is asking for the permutation of 50 items taken 2 at a time. The formula for permutation is given by: \[P(n, r) = \frac{n!}{(n-r)!}\] where \(n!\) is the factorial of \(n\), \(r\) is the number of items taken at a time, and \((n-r)!\) is the factorial of \((n-r)\).

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

Step 3 :Final Answer: The permutation of 50 items taken 2 at a time is \(\boxed{2450}\).

From Solvely APP
Source: https://solvelyapp.com/problems/45918/

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