Wagging his finger and glaring angrily, President-elect Bill Clinton lashed out at ''bean counters'' who have criticized his Cabinet selections for being short on women and minorities, saying they are ''playing quota games and math games'' and ignoring the non-Cabinet appointments he has made.

''I think I'm doing a good job,'' Clinton said, adding that his Cabinet selection process ''has a lot of integrity.''

Clinton's anger may have been feigned somewhat for political purposes - when truly angry his temper is far more volcanic - but the sharp words reflected what aides say is a combination of the pressure to complete the Cabinet choices by this week and dismay at the criticism he has received from political allies who feel he has not lived up to his promise of an administration that would ''look like America.''

Clinton's outburst came as he moved two steps closer to completing his Cabinet - naming Hazel R. O'Leary, an executive with Minneapolis-based Northern States Power Co., as secretary of energy and former South Carolina Gov. Richard Riley, an old and close friend, to be secretary of education.

O'Leary is the second woman and third black person to be named to Clinton's Cabinet. In addition, he has named women to head the Environmental Protection Agency and the Council of Economic Advisers, both senior posts although not formally of Cabinet rank.

For the U.N. ambassadorship Clinton adviser Madeline Albright, a professor at Georgetown University, is considered a likely candidate. The most likely nominees to be made next are for the Interior and Agriculture departments, for which former Arizona Gov. Bruce Babbitt, a white, and Rep. Mike Espy, D-Miss., who is black, are considered the leading candidates.

All the speculation and cat and mouse games surround a process that has grown increasingly tense, as Clinton's demeanor at the news conference indicated.

Clinton aides worry that pressure from outside groups has put the president-elect in a politically untenable position: If he appoints a large number of additional white men to his Cabinet, he risks disappointing some of the Democratic Party's strongest constituencies. But if he appoints many more women or minorities, he will be accused of pandering to special interests.

''I think when this is all said and done, we'll have by far the most diverse administration with more people given the opportunity to serve than ever before,'' Clinton added.

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