Vault 69 was a vault with 1 man and 999 women.
In lore it doesn't work out too well.
In fallout shelter it is seemingly the ultimate strategy.
The idea is to kill off all men except one who can breed with all the women.
Fill up to your dweller limit with women then get them pregnant.
All of them.
Send him out to explore the wastes.
When incidents occur the women will flee to living quarters and leave the incidents to burn themselves out.
They are immune to them, and your man is out in the wastes so he is immune to them. You could in essence do this for multiple men and simple only bring them in to heal them and send them back out to the wastes.
Since you're at the limit they will delay their pregnancy indefinitely.
You now have an invincible race of vault dwellers.
Congrats.