Pivot Table, Multiple Columns with Text Values, Count is Wrong when adding multiple column

I'm not sure why it's so hard to find an answer to simple things but it is. Not one example exists. Apparently, no one thinks like me.
I have a bunch of columns I created: Date Columns and Text Columns. The Text Columns contain either TRUE or FALSE. Three column headings: R1, R2, and R3 with each column containing TRUE or FALSE. I simply want a total of TRUE values for each column heading in a pivot table. You pull 1 column into Row Label and Values, no problem. You pull two columns in, EXPLOSION. Values no longer correct. Not sure why but that's what happens. Trying to figure out how many TRUEs there are for each Column heading. Simple right? Wrong. See attachment. "Master" is my source and "Latest" is my pivot.
It's kind of crazy but all examples I've come across absolutely no one has a data set up like mine where they show how to do this.

Thanks for the reply. The data will be coming in automatically as I have laid out in the "Master" sheet. I'm trying to create a pivot table based on that. Creating one isn't the issue. When I try to pull in more than one R column (R1, R2, R3), the data seems to get confused so that I can't get a total for each column value (based on TRUE value). Just trying to get a count of "TRUE" values for each column.

So you're saying not to use a pivot table but to use a regular table. And from that, I should be able to pull in all columns (R1, etc) and get a count of the TRUE and FALSE for each column?

Thanks for the insight on what you can and can't do with pivot tables. This thread was a life saver.

Aside from writing a macro which I'm probably about to do how would you convert a table with the first format talked about to teylyn's solution? Which would basically mean make an entry in a new table for each cell in R1 -R3