How do you make radio buttons and check boxes work together in HTML?

Okay, so here is my problem. I am creating a website as a class project for web authoring, and I would like to use one radio button with multiple check boxes to where if you select the radio button, you cannot select the check boxes. What I want to use it for is I am making a form asking about availability. When I am asking what days they are available, I want to have a radio button that says any or all, and I want check boxes for the rest of the days. Is this possible with HTML?