ON YOUR MARK; BEAUTY COMPANIES HOPE TO SCORE A PERFECT 10 WHEN IT COMES TO CROSS-PROMOTIONAL OLYMPICS MARKETING.(Avon Products Inc.)(Coty Beauty)(L'Oreal Paris)(Brief article)

Byline: Ellen Groves

With almost four months to go until the 2008 Olympics in Beijing, team beauty has a good start in the branding games. Avon, Coty and L'Oral, among others, are betting on this summer's competition to grow their businesses in China's booming market. "The Olympics will draw attention to China as a center of the world," says Steve Mormoris, senior vice president of global marketing for Coty Beauty. In May, Coty's Rimmel London brand will launch in limited distribution in China, while under its license for Adidas, Coty has developed a line of fragrances (two for women, three for men) emblazoned with 2008 in Olympics-style graphics, designed to appeal …