Final answer:
Chinese mathematician Yang Hui discovered and provided a proof of Pascal's Triangle centuries before it was known in Europe. Sima Qian is considered the Father of History in China, and Yang Jian was an adherent of Buddhism.
Step-by-step explanation:
The Chinese mathematician who discovered and provided a proof of what is known in the Western world as Pascal's Triangle is Yang Hui. The correct answer to the question is c) Yang Hui. Although the triangle is associated with Blaise Pascal in Europe, Yang Hui wrote about it centuries before in China.
However the triangle was known to Chinese mathematicians even earlier, as it appeared in the work of another mathematician named Jia Xian who lived in the 11th century. Regarding the other questions mentioned, the Chinese view Sima Qian as the Father of History, not Herodotus, who is often given this title in the Western tradition. And Yang Jian the founder of the Sui dynasty, was an adherent of Buddhism.