Explanation:

- Option 1, Muhammad Ghori: He invaded India in the late 12th century, not in 712 AD. He played a key role in establishing Muslim rule in Northern India.

- Option 2, Mahmud of Ghazni: His invasions occurred between 1000 and 1027 AD. He was known for his repeated raids into the Indian subcontinent with the aim of plundering its riches.

- Option 3, Muhammad Bin-Qasim: He is the correct answer. He was the first to successfully invade India in 712 AD, leading the Umayyad Caliphate's campaign in the Sindh region.

- Option 4, Qutub-ud-Din Aibak: He was a general under Muhammad Ghori and became the Sultan of Delhi in 1206 AD. He wasn’t involved in the 712 AD invasion.