"three typologies" is correct and can be used in written English.
You can use the phrase when discussing three distinct categories of something - for example, "Researchers have identified three typologies of motivation: economic, social, and personal."
We distinguish between three typologies of structures: small 2D aggregates, {105} pyramids and domes.
Three typologies of earthen mortars were identified, differing in the amount of added lime.
Three typologies were detected: Direct SEP users, Indirect SEP users and Isolated IDUs.
Six inland valley agro-ecosystems which belong to the three typologies commonly found south-western Nigeria were investigated.
In southwest Nigeria, three typologies of inland valleys are commonly found amphitheatre-like valley-heads, valley-side inland valleys and low depression inland valleys (Aboyeji 2013).
In spite of the variety of landslides on Mars, these three typologies are representative of the key landslide morphologies for VM.
The pictures in the collection, all of which Hendeles found on eBay between 1999 and 2001, are drawn from personal collections and family albums, and are sorted into groups according to subject, posture, setting, and numerous other taxonomic criteria creating, according to the artist, a hundred and twenty-two "typologies" in all.
Two typologies of RFID tags were tested.
Two typologies of experimental tests were performed: current voltage characteristic.
The demographic perspective has been introduced through two typologies of classification of family farms.
Available literature shows that tapered BGCWs may be classified into four typologies.
