UPDATE 1-Bombardier says it's the right size for demand

* CEO says sees some aerospace demand coming back

* Company to report quarterly results on June 3 (Adds details, quotes)

By John McCrank

MONTREAL, May 29 (Reuters) - Bombardier Inc (BBDb.TO) Chief Executive Pierre Beaudoin said on Friday that the Canadian plane and train maker is now the right size to meet demand and that it is seeing some business coming back in the aerospace sector, which has been hit hard by the weak economy.

In early April, Bombardier said it would cut 3,000 jobs in Canada, the United States and Mexico, on top of nearly 1,400 layoffs announced earlier in the year, to deal with weakness in the aerospace sector.

"I think we've right-sized our business for the demand that we have today," Beaudoin told reporters on the sidelines of a conference in Montreal.

The company delivers its results for the latest quarter on June 3.

Bombardier, like all aircraft manufacturers, has seen orders deferred or canceled as customers struggle to find credit and to fill seats.

Beaudoin said Bombardier, the world's No. 1 passenger train maker and No. 3 civil aircraft manufacturer, was having "good discussions" with airlines about its new CSeries aircraft, scheduled to hit the market in 2013, and that he is hopeful that as the economy turns around, so will orders for the company's planes.