Multiconditional, dictionary-based, count in Excel 2019 - excel

Question

Excel coding gurus, can someone help me count in Excel? :) I need a count, based on multiple, dictionaty depandant, conditions.
What I have:
I have an Excel 2019. Not the 365 edition.
I have an Excel sheet called, say Dicts with a table of 2 columns. I is a dictionary. Column I contains list of people. And each person in the I column has the country of his/her origin denoted in the correspondent cell of H column.
For a better view check this picture, plz.
And I have a DataSheet, that contains records of various persons from the dictionary table along wiht some data on each record.
For a better view check this picture, plz.
Now, the question is:
How can I count the number of all the citizens of USA and Iitaly in the column A that have either Y or M in the correspondent cell of Column B?

Answer 1

You could use the following in Office 365:
=LET(condition1,FILTER(A2:A25,MMULT(--({"Y","M"}=B2:B25),SEQUENCE(2,,1,0))),
condition2,FILTER(Table1[C2],MMULT(--({"USA","Irtaly"}=Table1[C1]),SEQUENCE(2,,1,0))),
SUM(--(TRANSPOSE(condition1)=condition2)))
In Excel 2019 you could use the following:
=SUM(
--(TRANSPOSE(INDEX(Table1[C2],
AGGREGATE(15,6,ROW(Table1[C1])-1/(MMULT((--(Table1[C1]={"USA","Irtaly"})),ROW(1:2)^0)),
ROW(A1:INDEX(A:A,SUMPRODUCT(--({"USA","Irtaly"}=Table1[C1])))))))
=INDEX(A2:A25,
AGGREGATE(15,6,ROW(A2:A25)-1/(MMULT((--(B2:B25={"Y","M"})),ROW(1:2)^0)),
ROW(A1:INDEX(A:A,SUMPRODUCT(--({"Y","M"}=B2:B25))))))))
In Excel versions prior to Office 365 this formula needs to be entered with ctrl+shift+enter
Change the Table name and references to your needs (I can't reproduce the characters used and Table Name is nowhere mentioned)
When using different system language using different separators use the following:
=SUM(
--(TRANSPOSE(INDEX(Table1[Стовпець2];
AGGREGATE(15;6;ROW(Table1[Стовпець1])-1/(MMULT((--(Table1[Стовпець1]={"USA"\"Irtaly"}));ROW(1:2)^0));
ROW(A1:INDEX(A:A;SUMPRODUCT(--({"USA"\"Irtaly"}=Table1[Стовпець1])))))))
=INDEX(A2:A25;
AGGREGATE(15;6;ROW(A2:A25)-1/(MMULT((--(B2:B25={"Y"\"M"}));ROW(1:2)^0));
ROW(A1:INDEX(A:A;SUMPRODUCT(--({"Y"\"M"}=B2:B25))))))))

Answer 2

I can imagine you're looking for something simpler, but what about this (pseudocode, based on COUNTIFS() worksheet function):
=COUNT_Multiple_Criteria(range,country="USA", done="Y") +
COUNT_Multiple_Criteria(range,country="USA", done="M") +
COUNT_Multiple_Criteria(range,country="Italy", done="Y") +
COUNT_Multiple_Criteria(range,country="Italy", done="M")

Answer 3

Assuming:
The table in sheet Dicts is named loPeople with fields: Country and People
The data in sheet DataSheet is located in a table named loDone with fields: Name and Done
Try this formula:
= SUM( IFERROR( IF(
MATCH( loDone[Done], {"M","Y"}, 0 )
* MATCH( INDEX( loPeople[Country],
MATCH( loDone[Name], loPeople[People], 0 ) ), {"Ctry.C","Ctry.E"}, 0 ),
1 ), 0 ) )
Dynamic Formula: If a dynamic formula is required, let's assume that:
The Country criteria is located in a table*{a}* named: loSelCtry
The Done criteria is located in table*{a}* named: loSelDone
Try this formula:
= SUM( IFERROR( IF(
MATCH( loDone[Done], loSelDone, 0 ) *
MATCH( INDEX( loPeople[Country],
MATCH( loDone[Name], loPeople[People], 0 ) ), loSelCtry, 0 ),
1 ), 0 ) )
*{a}Using tables for the criteria enhances the dynamics of the formula.

Answer 4

Let's try the following approach. In cell: H4 put the following formula:
=SUMPRODUCT(
N(ISNUMBER(MATCH(INDEX(A3:A8, MATCH(D3:D7, B3:B8,0)), H2:I2,0))),
N(ISNUMBER(MATCH(E3:E7,H3:I3,0)))
)
Here is the output:
The formula uses valid functions for Excel 2019, but that is not enough, you need to validate the expected behavior. After dynamic array behavior was introduced for most of the functions the output should be different. In such cases you can try the legacy approach: Ctrl+Shift+ENTER to ensure a dynamic array output.
If that doesn't work then an alternative is to use MMULT as follow, assuming IF returns a dynamic array for your Excel version:
=SUM(MMULT(TRANSPOSE(IF(INDEX(A3:A8, MATCH(D3:D7,B3:B8,0))=H2:I2,1,0)),
IF(E3:E7=H3:I3,1,0)))
that SUM per country all names with Y or M.
Explanation
Let's use the LET function for better understanding:
=LET(lkUpC, H2:I2, lkupD, H3:J3, countries, INDEX(A3:A8, MATCH(D3:D7, B3:B8,0)),
cCnts, N(ISNUMBER(MATCH(countries, lkUpC,0))),
dCnts, N(ISNUMBER(MATCH(E3:E7,lkupD,0))),
SUMPRODUCT(cCnts, dCnts)
)
The name countries finds the corresponding countries for the Dataset columns. The name cCnts returns an array with the same number of rows as countries having 1 for LkUpC match values otherwise 0. Similarly dCnts the Done counts based on lkUpD. Both arrays have the same size, so we can invoke SUMPRODUCT to count the number of items that satisfy both conditions (columns D and E are highlighted in yellow in the above screenshot)