The correct sequence of the freedom movements of India is:
a) Non-Cooperation Movement, Civil Disobedience Movement, Quit India Movement

Explanation:
1. Non-Cooperation Movement:
- The Non-Cooperation Movement was launched by Mahatma Gandhi in 1920.
- It was a nationwide movement that aimed to boycott British goods, institutions, and courts.
- The movement called for non-cooperation with the British government, including resigning from government jobs, boycotting educational institutions, and refusing to pay taxes.
- The movement gained widespread support from the Indian population, leading to the closure of many British-run institutions and the formation of alternative Indian institutions.
- However, the movement was called off by Gandhi in 1922 after the Chauri Chaura incident, where a group of protesters attacked a police station, resulting in the death of 22 policemen.

2. Civil Disobedience Movement:
- The Civil Disobedience Movement was initiated by Mahatma Gandhi in 1930.
- It was launched as a protest against the British Salt Laws, which imposed a heavy tax on salt, a basic necessity of life.
- Gandhi, along with his followers, marched to the coastal village of Dandi, Gujarat, to produce salt from seawater, breaking the Salt Laws.
- The movement spread across the country, with people participating in acts of civil disobedience like boycotting British goods, refusing to pay taxes, and organizing peaceful protests.
- The movement led to mass arrests, imprisonments, and clashes with the British authorities.
- The Civil Disobedience Movement was suspended in 1931 after the signing of the Gandhi-Irwin Pact, which promised to release political prisoners and hold discussions on India's future.

3. Quit India Movement:
- The Quit India Movement, also known as the August Movement, was launched by Mahatma Gandhi in 1942.
- It aimed to demand an immediate end to British rule in India.
- Gandhi gave the famous slogan "Do or Die" to inspire the masses to fight for independence.
- The movement called for nonviolent civil disobedience, strikes, and protests across the country.
- However, the British government responded with a heavy-handed crackdown, arresting thousands of Indian leaders and activists.
- Despite the suppression, the Quit India Movement marked a turning point in the Indian independence struggle, as it demonstrated the determination and unity of the Indian people against British rule.
- India finally achieved independence in 1947, five years after the Quit India Movement.

In conclusion, the correct sequence of the freedom movements of India is a) Non-Cooperation Movement, Civil Disobedience Movement, Quit India Movement. Each movement played a significant role in mobilizing the masses, challenging British authority, and paving the way for India's independence.