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“The Book of Mormon” won nominations for best direction, and Casey Nicholaw won a best choreography nomination and shared honors with Mr. Parker for best direction of a musical. “Mormon” also earned nominations for its two missionaries, Josh Gad and Andrew Rannells, as well as for Nikki M. James (featured actress), best book of a musical and best original score.

“The show continues to surprise even me with how well received it is,” said Mr. Gad. “This is dangerous in the best sense. People are excited when they sit down in those seats because they don’t know what’s going to happen.”

With 14 nominations, “The Book of Mormon” takes its place among Broadway musicals with the most Tony nominations, just below “The Producers” and “Billy Elliot,” which each won 15 nominations.

Of the 42 new productions this season, there were 14 musicals — 12 new ones and two revivals — and 25 plays, a whopping 16 of them brand new. The last time there were 16 new plays produced in a single season was 1986-87.

It is also shaping up to be a lucrative time for Broadway, with total box-office grosses already at more than $987,057,484, or 3.6 percent more than the same time last year. Attendance this season is at more than 11.4 million, up 3 percent from this time last year.

The awards will be handed out June 12 at a new location — the Beacon Theatre on the Upper West Side of Manhattan — after producers lost their long-term space at Radio City Music Hall. It will be broadcast live by CBS.