How can someone send me a friend request on facebook when I have taken my profile is on privacy?

[kimmie,]

You cannot disallow people from sesrching you. If and when someone searched your name, your display picture, or default, will pop up, along with many other people with you name. They will click on your picture, and it will not show any information, except mutual friends, friends, and display picture, or default. They will have an option to add you, by clicking a button toward the top of the private profile that says "Add as Friend"

Hope this helps!