Iphone troubles with contacts?

My Apple Iphone 4 won't let me delete contacts, I've tried restarting it but when i synced it to my itunes it happened again. Does anyone know what setting I can change to fix this?

Added (1). There's no 'edit' options. MY PHONE IS STUPID.

Usually, you should be able to select the contact in your contact list, then select 'edit' and then be able to delete your contact at the bottom of the window.

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