Limit slicer based on multiple slicers

For the slicers to be mutually exclusive, you need to create a measures to use in each slicer as a filter in the filter pane, following this (CT Slicer * is the name of each table used as slicers):

Filter 1 = 
VAR S1 = 'CT Slicer 1'
VAR S2 = 'CT Slicer 2'
VAR S3 = 'CT Slicer 3'
VAR S4 = 'CT Slicer 4'
VAR SelectedCT = 
DISTINCT(
    UNION(S2, S3, S4))
    RETURN
COUNTROWS(
    EXCEPT(S1,SelectedCT))

Filter 2 = 
VAR S1 = 'CT Slicer 1'
VAR S2 = 'CT Slicer 2'
VAR S3 = 'CT Slicer 3'
VAR S4 = 'CT Slicer 4'
VAR SelectedCT = 
DISTINCT(
    UNION(S1, S3, S4))
    RETURN
COUNTROWS(
    EXCEPT(S2, SelectedCT))

Filter 3 = 
VAR S1 = 'CT Slicer 1'
VAR S2 = 'CT Slicer 2'
VAR S3 = 'CT Slicer 3'
VAR S4 = 'CT Slicer 4'
VAR SelectedCT = 
DISTINCT(
    UNION(S1,S2,S4))
    RETURN
COUNTROWS(
    EXCEPT(S3,SelectedCT))

Filter 4 = 
VAR S1 = 'CT Slicer 1'
VAR S2 = 'CT Slicer 2'
VAR S3 = 'CT Slicer 3'
VAR S4 = 'CT Slicer 4'
VAR SelectedCT = 
DISTINCT(
    UNION(S1,S2,S3))
    RETURN
COUNTROWS(
    EXCEPT(S4,SelectedCT))

Now add each measure to the filter pane for each corresponding slicer. Before you set the filter, select a  different value for each slicer

Then set the value of each measure  in each filter to = 1.

I've attached the sample PBIX file

This is brilliant. Just bedded this into my dashboard and works a treat. Many thanks Paul.