None of the children on the White Plains Bus Company vehicle out of Westchester appeared seriously injured but were being taken to Hackensack University Medical Center to be completely checked out.
It wasn't immediately clear where the youngsters are from.
The driver of the Mini-Cooper, part of which slid under the school bus, was hospitalized with serious injuries, responders said.
Two occupants of a minivan that hit the compact vehicle from behind weren't injured.
Two lanes were temporarily closed while the scene was cleared near Hackensack Avenue outside Riverside Square Mall.
The Bergen County Sheriff's Office was investigating.
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