how to Count distinct date value by Name ?

Anonymous 

as you use a date slicer you could try this

Measure = 
var _minDate = CALCULATE(MIN('Table'[Date]),ALLSELECTED('Table'))
var _maxDate = CALCULATE(MAX('Table'[Date]),ALLSELECTED('Table'))
return
SUMX(SUMMARIZE('Table', 'Table'[Name], "DistinctDates", 
CALCULATE(DISTINCTCOUNT('Table'[Date]), ALLEXCEPT('Table','Table'[Name]), DATESBETWEEN('Table'[Date], _minDate, _maxDate))),[DistinctDates]
)

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