Answer
$S = 2.47 \times 10^{-23} J/K$
Work Step by Step
The entropy is given by the Boltzmann's entropy equation
$S = k ln( W)$ where W is the multiplicity.
To find the greatest entropy, we use the biggest multiplicity from$ (b)$ which is $ 6$ and Boltzmann's constant $k = 1.38 \times 10^{-23} J/K$ So,
$S = 1.38 \times 10^{-23} ln( 6 )$
$S = 2.47 \times 10^{-23} J/K$
