Welcome to the forum.
First, I had a bit of trouble matching the ranges in your text with the sample sheet. I copied the sheet and used the resulting range references like that.
Next, the formula you found works to find the number of rows that a single value can be found in. So if you copy that formula down the column next to UH, T, H, then you'll get the number of rows for each code. For example:
Excel 2012
| A | B | C | D | E | F | G | H | I | J | K | L |
---|
Date | 30/06/2019 | Letters to count | # of rows | | | | | | | | | |
Name | Sun | Mon | TUE | WED | THU | FRI | SAT | | | | | |
Bill | H | H | UH | UH | | | | | | | | |
Bob | CO | CO | T | | | | | | | | | |
Steve | H | | | | | | | | | | | |
Jill | T | T | T | | | | | | | | | |
June | | | | | | | | | | | | |
Becky | | | | | | | | | | | | |
Scott | HA | HP | | | | | | | | | | |
<colgroup><col style="width: 25pxpx"><col><col><col><col><col><col><col><col><col><col><col><col></colgroup><thead>
</thead><tbody>
[TD="align: center"]1[/TD]
[TD="align: right"]1/7/2019[/TD]
[TD="align: right"]2/7/2019[/TD]
[TD="align: right"]3/7/2019[/TD]
[TD="align: right"]4/7/2019[/TD]
[TD="align: right"]5/7/2019[/TD]
[TD="align: right"]6/7/2019[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: center"]2[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: center"]3[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"]1[/TD]
[TD="align: right"][/TD]
[TD="align: center"]4[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"]1[/TD]
[TD="align: right"][/TD]
[TD="align: center"]5[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"]1[/TD]
[TD="align: right"][/TD]
[TD="align: center"]6[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: center"]7[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"]3[/TD]
[TD="align: right"]2[/TD]
[TD="align: center"]8[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: center"]9[/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
[TD="align: right"][/TD]
</tbody>
Sheet1
[TABLE="width: 85%"]
<tbody>[TR]
[TD]
Worksheet Formulas[TABLE="width: 100%"]
<thead>[TR="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=DAE7F5]#DAE7F5[/URL] "]
[TH="width: 10px"]Cell[/TH]
[TH="align: left"]Formula[/TH]
[/TR]
</thead><tbody>[TR]
[TH="width: 10px, bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=DAE7F5]#DAE7F5[/URL] "]K7[/TH]
[TD="align: left"]=SUM(
K3:K5)[/TD]
[/TR]
</tbody>[/TABLE]
[/TD]
[/TR]
</tbody>[/TABLE]
[TABLE="width: 85%"]
<tbody>[TR]
[TD]
Array Formulas[TABLE="width: 100%"]
<thead>[TR="bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=DAE7F5]#DAE7F5[/URL] "]
[TH="width: 10px"]Cell[/TH]
[TH="align: left"]Formula[/TH]
[/TR]
</thead><tbody>[TR]
[TH="width: 10px, bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=DAE7F5]#DAE7F5[/URL] "]K3[/TH]
[TD="align: left"]{=SUM(
--(MMULT(--($B$3:$H$9=J3),TRANSPOSE(COLUMN($B$3:$H$9)))>0))}[/TD]
[/TR]
[TR]
[TH="width: 10px, bgcolor: [URL=https://www.mrexcel.com/forum/usertag.php?do=list&action=hash&hash=DAE7F5]#DAE7F5[/URL] "]L7[/TH]
[TD="align: left"]{=SUM(
--(MMULT(--ISNUMBER(MATCH($B$3:$H$9,$J$3:$J$5,0)),TRANSPOSE(COLUMN($B$3:$H$9)))>0))}[/TD]
[/TR]
</tbody>[/TABLE]
Entered with Ctrl+Shift+Enter. If entered correctly, Excel will surround with curly braces {}.
Note: Do not try and enter the {} manually yourself[/TD]
[/TR]
</tbody>[/TABLE]
Then you can just sum up that column (cell K7) to get the total you want. It is possible to create a single formula to come up with your result, but the results may differ. Look at the L7 formula. It finds the number of rows that any of your codes can be found in. It only counts row 3 once though, since both H and UH are found in it. I've tried coming up with a formula that replicates the value from K7, but it's quite tricky. If I come up with it, I'll let you know.