> 
> From 4 men and 4 ladies a committee of 5 is to be formed. The committee consists of a president, vice president and three secretaries.
> 
> 
> What will be the number of ways of selecting the committee with atleast 3 women such that atleast one woman holds the post of either a president or vice president.
> 
> 
> 

I have been staring at this question for quite long; not sure where to start.