Answer
$W = 1.264 \times 10^{14}$
Work Step by Step
To find the multiplicity, W of the central configuration,
$N = 50, $ Since the sample is divided into two halves, $n_1 = 25, n_2 = 25$
$W = \frac{N!}{n_1!n_2!}$
$W = \frac{50!}{25!25!}$
$W = 1.264 \times 10^{14}$