Downing Street said David Cameron was ready to "listen to the arguments" about a ban on smoking in cars that are carrying children.
The Prime Minister's official spokesman told a media briefing, "This is an issue that is going to be discussed and debated in Parliament today, and the Prime Minister's view is that he wants to listen to the arguments."
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A four-year-old boy has died after being hit by a car outside a medical centre in Leeds.
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The US President has marked his first 100 days in the White House by speaking at a campaign-style rally in Pennsylvania.