<p>For the office vs cubicle problem, we list all possible arrangements using M for any man and W for any woman.</p>
<p>Office:  M M M     Cubicle: W W
Office:  M M W    Cubicle:  M W
Office:  M M W    Cubicle:  W M
Office:  M W M    Cubicle:  M W
Office:  M W M    Cubicle:  W M
Office:  W M M    Cubicle:  M W
Office:  W M M    Cubicle:  W M
Office:  W W M    Cubicle:  M M
Office:  W M W    Cubicle:  M M
Office:  M W W    Cubicle:  M M</p>
<p>So there would be ten different arrangements, six of which have 2 M and 1 W in the office.
So the probability of 2 M and 1 W in the office is 6/10 or 3/5.</p>