Choosing undergraduate degree

[hotdeaths]

I have offers from:

• LSE (Maths with Data Science)
• Imperial (Maths)
• Warwick (Maths)

LSE is the best for traditional banking, and I am thinking of choosing it to leave that path open if I am not successful breaking into a quantitative role. The social scene also seems much warmer than Imperials, whilst maintaining a strong international reputation. From what I've gathered, the compulsory options do not include PDEs, Stochastic Simulation and C++, but these can be chosen as optional modules in year 3.

Imperials would leave many other fields open (physics, computer science, etc) as the degree is less applied, and would probably be better for further education. This would be especially true if I did the 4 year 'Integrated Msci' version of the course.

Warwick has the best social scene, but lacks the location and international rep that the other two institutions have. A 4 year integrated Msci is also offered.

Which institution would you guys/girls recommend?