The Non-Cooperation cell, established in 1920, aimed to oppose the British colonial rule in India through peaceful means. It encouraged Indians to boycott British institutions and promote self-governance.

Option 1: Boycott of titles. This was one of the programmes of the Non-Cooperation cell. Indians were encouraged to give up titles given by the British colonial rulers as a form of protest.

Option 2: Boycott of Civil Services. This was another programme of the Non-Cooperation cell. Indians were urged to resign from British administrative positions to undermine the governance system.

Option 3: Boycott of English education. This was also a programme of the Non-Cooperation cell. Indians were encouraged to boycott British educational institutions and promote vernacular education.

Option 4: Boycott of police and army. This option was not a programme of the Non-Cooperation cell. The movement did not promote boycotting the police or army.

Therefore, the correct answer is option 4, as it was not a part of the Non-Cooperation cell`s programmes.