P, = 0

The permutation expression is given as ${10}_{P_4}$.

Use the formula for the permutation to find the value of ${10}_{P_4}$.

$n_{p_r}=\frac{n!}{(n-r)!}$

Substitute the value from the expression ,

$\begin{array}{rcl}{10}_{P_4}& =& \frac{10!}{(10-4)!}\\ & =& \frac{10!}{6!}\\ & =& \frac{10\times 9\times 8\times 7\times 6!}{6!}\\ & =& 5040.\end{array}$