Questions: Evaluate. 8 P2 8 P2= (Type a whole number.)

Evaluate \({ }_{8} P_{2}\).

Identify the values of \(n\) and \(r\).

In this case, \(n = 8\) and \(r = 2\).

Apply the permutation formula.

The formula for permutations is given by \({ }_{n} P_{r} = \frac{n!}{(n-r)!}\). Thus, we have \({ }_{8} P_{2} = \frac{8!}{(8-2)!}\).

Calculate \(8!\) and \((8-2)!\).

Calculating \(8!\) gives \(40320\) and \((8-2)! = 6!\) gives \(720\).

Compute the permutation.

Now, \({ }_{8} P_{2} = \frac{40320}{720} = 56\).

The answer is \(\boxed{56}\).

The final answer is \(\boxed{56}\).