## Q4

ShehryarB30
Elle Woods

Posts: 99
Joined: July 07th, 2018

### Q4

Could you pls explain this

ohthatpatrick
Atticus Finch

Posts: 4098
Joined: April 01st, 2011

### Re: Q4

From rules 1 and 2, we know that J and L are mutually exclusive: one will always be on stage, one will always be off.

And from rule 4, we know that G will always be on stage, because J and L are both women, so there will always be at least one woman on stage.

Thus, when Q4 says that there needs to be more women than men, we can start by thinking, "I know I have at least one man, G. So I need at least two women."

And since we can't have all THREE women on stage at any one time (because J and L can't both be onstage together), the only way to obey this condition is to have a scenario with 2 women, 1 man.

We know the 1 man is G, so F and H are off stage.

If F is off stage, then so is L.

So the 2 women, 1 man scenario will be

..on......off...
J K G | F H L

Ultimately, the question didn't even care who the specific people were, so once we sorted out the idea that
women > men ---> 2 women and 1 man