Answer
$S=3.178 \times 10^{−23} J/K$
Work Step by Step
The equation of entropy in statistical thermodynamics is
$S=k lnW$
Taking W from (d) in system B that has the greatest multiplicity, we can find the greatest entropy in the system. And K is the Boltzmann's constant $ k=1.38×10−23J/K$
$S=(1.38 \times 10^{−23}J/K) ln10$
$S=3.178 \times 10^{−23} J/K$