>>985
Both させてくれる and させてあげる mean "giving a permission", but
we choose one depending on who is the person using the expression.
させてくれる is used by any person other than the giver of the permission
while させてあげる is used by the giver.
Also, させてあげる sounds a bit condescending.

In this example, させてくれる is more appropriate as the person asking this question is
not the parents who have given the permission.