When was the first toothpaste in tubes invented?

The history of toothpaste dates back to 5000 BC. The ingredients of toothpaste kept changing over time. So did the packaging of toothpaste, from tooth powder in a box in ancient times, to toothpaste or powder in jars in the 19th century, till modern toothpaste in tubes.

The first toothpaste in tubes was invented in 1880 by Dr. Washington Sheffield (1827 – 1897), an American dental surgeon. He had the idea after his son Dr. Lucius Sheffield (1854 – 1901) traveled to Paris and saw painters squeezing paint from tubes onto palettes. In 1880, Dr. Sheffield and son manufactured and sold the first toothpaste into a collapsible lead tube with brand name “Dr. Sheffield’s Crème Angelique Dentifrice”. The son registered the trademark of that first toothpaste in 1881.

In 1896, New York-based Colgate & Company began selling its own toothpaste that mimicked Sheffield's ready-made toothpaste and sold it in collapsible tubes like Sheffield. Prior to 1896, Colgate had produced and distributed their toothpaste in jars since 1873.

As for other three choices, here is for your quick glance only.

In 1728, Pierre Fauchard of France, referred to as the "father of modern dentistry", was the first to publish a scientific textbook on the techniques and practices of dentistry.

In 1840, the University of Maryland School of Dentistry (UMSOD), the first dental college in the world, was established.

In 1938, the first nylon toothbrush was made and sold by DuPont.