high school ?
my friend, I think the best thing to do is to post the instructions.
I quoted Robin2 "I can't help feeling you are completely out of your depth." and the reason is that I cannot follow the instructions to offer a simple solution. we are on page 3 of the second thread and I believe no one knows the actual project.
I think there is something lost in the translation from the teacher to you and then from you to us.
I still do not understand what is to be used as a sensor (button?) and what is used to indicate the square on the bingo card.
you say laser. do you mean LED ?
you could use 5 buttons.
one for each column.
press the first one once and it is the first row
press it again and it is the second row and so on.
if you have 25 LED lights, one for each square, then you need to be able to control 24 outputs.
this can be done with 3 shift registers and no need to bother with the center square.
as for the buttons, you might need an extra one.
press the column button until the light moved down to the correct square. then press the send button (the extra one) to lock it in.