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Count rows that contain specific values

Excel formula: Count rows that contain specific values
Generic formula 
=SUM(--(MMULT(--(criteria),TRANSPOSE(COLUMN(data)))>0))
Summary 

To count rows that contain specific values, you can use an array formula based on the MMULT, TRANSPOSE, COLUMN, and SUM functions. In the example shown, the formula in G5 is:

{=SUM(--(MMULT(--(data=90),TRANSPOSE(COLUMN(data)))>0))}

where data is the named range B4:B12.

Note: this is an array formula and must be entered with control shift enter, except in Excel 365.

Explanation 

In this example, the goal is to count rows that contain a specific value. The challenge is that the value might appear in any of several columns, and might appear in more than one column of the same row. Working from the inside out, the logical criteria used in this formula is:

--(data=90)

where data is the named range B4:D12. This generates a TRUE / FALSE result for every value in data, and the double negative coerces the TRUE FALSE values to 1 and 0 to yield an array like this:

{1,0,0;0,0,0;0,1,1;1,0,0;0,0,0;0,0,0;0,0,0;0,0,0;0,0,1}

Like the original data, this array is 9 rows by 3 columns (9 x 3) and goes into the MMULT function as array1Array2 is derived with this snippet:

This is the tricky and fun part of this formula. The COLUMN function is used simply for convenience as a way to generate a numeric array of the right size. To perform matrix multiplication with MMULT, the column count in array1 (3) must equal the row count in array2.

COLUMN returns the 3-column array {2,3,4}, and TRANSPOSE changes this array to the the 3-row array {2;3;4}. MMULT then runs and returns a 9 x 1 array result:

=SUM(--({2;0;7;2;0;0;0;0;4}>0))

We check for non-zero entries with >0 and again coerce TRUE FALSE to 1 and 0 with a double negative to get a final array inside SUM:

=SUM({1;0;1;1;0;0;0;0;1})

In this final array, a 1 represents a row where the logical test (data=90) returned TRUE. The total returned by SUM is a count of all rows that contain the number 90.

Literal contains

If you need to check for specific text values, in other words, literally check to see if cells contain certain text values, you can change the logic in the formula on this page to use the ISNUMBER and SEARCH function. For example, to count cells/rows that contain "apple" you can use:

=ISNUMBER(SEARCH("apple",data))

Details on how this formula works here.

Author 
Dave Bruns

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