India, Sept. 3 -- The U.S. dollar weakened against its major counterparts in the New York session on Wednesday, following the release of weak job openings data for July.

Job openings fell to 7.18 million in July from 7.35 million in June. The reading came in below expectations of 7.4 million.

The data increased the chances of a rate cut from the Federal Reserve later this month.

The Labour Department will release nonfarm payrolls data for August on Friday. Economists expect an increase of 75,000 jobs in August, following an addition of 73,000 jobs in July.

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The greenback dropped to 1.1682 against the euro and 0.8027 against the franc, from its early 1-w...