Need Formula that dosent count if the adjacent cell was already counted in

Here is what I have so far.

(COUNTIF(Admission!H:H,"<=-24")+COUNTIF(Admission!I:I,"<=-24")+(COUNTIF(Admission!L:L,"<=-24")+(COUNTIF(Admission!O:O,"<=-24")+COUNTIF(Admission!H:H,"#")+COUNTIF(Admission!I:I,"#")+COUNTIF(Admission!L:L,"#Value!")+COUNTIF(Admission!H:H,">720")+COUNTIF(Admission!I:I,">720"))))

Basically what I need it to do is not double count if any of the criteria in Column "H:H", Column "I:I", Column "L:L", and Column "O:O" were already counted.

For example if Column "H:H, "<=-24 and Column "I:I", "<=-24" I only want it to be counted as once and not twice. Because COUNTIF(Admission!H:H,"<=-24")+COUNTIF(Admission!I:I,"<=-24") will result in a total of 2 and I need it to result in a total of 1.