Councils will be able to draw upon a £4m fund to cover the bill for giving residents a rebate while they are out of their homes.
The councils will not be forced to introduce the payment exemptions, Number 10 said.
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Junko Tabei, who conquered Everest in 1975 aged 35, passed away after battling cancer.
Whitmore said she is "absolutely devastated" that she will not be performing on Saturday's show because of an ankle injury.
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