Teaching Problems: No. 2

[摘要] A marching band is attempting to get organized for a performance in alocal parade. Unfortunately, the band is having di culty getting linedup correctly. When the members line up in twos, there is one personleft over. When they line up in threes, there are two people left over.When they line up in fours, there are three people left over. Whenthey line up inves, there are four people left over. When they lineup in sixes, there areve people left over. Finally, they discover thatwhen they line up in sevens, they line up neatly with nobody left over.What is the smallest possible number of people in the marching band?.

[学科分类] 数学（综合）