The unemployment rate in Massachusetts fell for the fourth consecutive month, from 3.6 percent in September to 3.3 percent in October, the lowest rate since 2001.

With a gain of 1,700 positions, the professional, scientific and business sector added more jobs in October than any other industry tracked by the government. Several of the state’s industries experienced job losses, however, including education and health services; trade, transportation and utilities; leisure and hospitality; and financial activities.

The job losses could be an indicator that employers are not adding jobs because they cannot find the talent to fill them. Massachusetts is currently at full employment.

Nationally, the unemployment rate is 4.9 percent.