1.   Singapore fell because the Japanese swept through Malaya from the north, an invasion believed impossible by the British.

2.   He believes it impossible to turn a profit with an operation that small.

3.   One day in late March last season, a group of longtime Vermont skiers sat on a lift they had always believed impossible.

4.   The Peabodys received the box of remains but refused to hold a funeral, believing it impossible that it could be his ashes.

5.   Yair Sheleg, a settler activist in the West Bank, believes it impossible to abandon religion and remain Jewish.