Does the state spend £8 billion a year on 120 000 "problem families"?

“Britain's Shameless families cost the taxpayer £8bn every year”,
Daily Mail, 18 October 2011
In the wake of the August riots, David Cameron pledged that the Government would step in to turn around the lives of 120,000 problem families.
Today the Daily Mail reports the the combined impact on the public purse of these dysfunctional families is more than £8 billion, highlighting why the Govenrment is looking to fund ways to provide help to these families.
But where did this £8 billion figure come from?
Analysis
The Mail sourced its claim to the Communities Secretary, Eric Pickles, who quoted the figure in a speech yesterday.

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