I don't know what this game is, but you are describing an interactive menu as used in DVD meus, a web page or electronic game; click on any button and that button is removed while the other buttons remain
if you have 3 objects, you need 4 slides as follows:
slide 1: A B C
slide 2: B C
slide 3: A C
slide 4: A B
make a link from each of the buttons A B C in slide 1 to link to the appropriate slide: 2, 3 or 4
click on the button to select it, this can be a drawn object, photo or text
inspector > hyperlink tab > link to slide > slide > select the number of slide
if you then want to make further buttons disappear, in a second order choice, you will need to make 7 slider
you are on slide 2 and you want B to disappear