Dec 2 (Reuters) - Following are some of the possible options U.S. Defense Secretary Donald Rumsfeld outlined in a classified memorandum to President George W. Bush for "a major adjustment" in Iraq. * Significantly boost the number of U.S. trainers and transfer more equipment to the Iraqi security forces. * Decrease quickly the number of U.S. bases, now 55, to five by July 2007. * Provide U.S. security only in cities or provinces that actively cooperate. * Focus reconstruction "in those parts of Iraq that are behaving ... No more reconstruction assistance in areas where there is violence." * Place substantial U.S. forces near the borders with Syria and Iran to reduce infiltration and reduce Iran's influence. * Withdraw U.S. forces from vulnerable positions, such as patrols, and use them as a quick reaction force to assist Iraqi security forces when needed. * Begin modest withdrawals of U.S. and coalition forces to encourage the Iraqi government to take charge. * Provide money to political and religious leaders "to get them to help us through this difficult period." * Institute a program to assist jobless youths, run by U.S. forces. * Announce United States is trying out a new approach, which would allow further adjustments, if necessary. "Less attractive options" included "continue the current path;" putting more U.S. forces into Baghdad to fight insurgents there; a substantial increase in U.S. forces in Iraq; setting a firm date for withdrawal; let Sunnis, Shi'ites and Kurds have their own spheres within Iraq; and convening a peace conference among the factions.