This statement seems incomplete. Locate a reference and complete statement of the condition.
For any group of 
men out of 
,
there must be at least 
jobs for which they are collectively qualified. This is a
restatement of Hall's condition.
Diversity Condition
See also
Hall's ConditionCite this as:
Weisstein, Eric W. "Diversity Condition." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DiversityCondition.html