Question 96
We wish to distribute $12$ indistinguishable stones among $4$ distinguishable boxes $B_{1}$, $B_{2}$, $B_{3}$, $B_{4}$. (It is permitted some boxes are empty.)
a. Over all ways to distribute the stones, what fraction of them have the property that the number of stones in every box is even?
b. Over all ways to distribute the stones, what fraction of them have the property that the number of stones in every box is odd?
a. Over all ways to distribute the stones, what fraction of them have the property that the number of stones in every box is even?
b. Over all ways to distribute the stones, what fraction of them have the property that the number of stones in every box is odd?