Simple analogy.
How many coins?
How many different type of coins?
How many coloured balls?
How many different colours?
I understand that but that the subject was quadads (4 notes) not 3?
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Yes.
Quadads - 4 distinct and different notes (as in notes with a different alphabetical name too).
Example
E minor 7 = Em7 = 1, b3, 5, b7 = E, G, B, D
That quadad contains the three notes G, B and D. Those notes just happen to be a G major triad.
Triads - 3 distinct and different notes (as in notes with a different alphabetical name too).
Example
G major = 1, 3, 5 = G, B, D
Quadad containing triad.
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That would explain it!