allocate指“分配一定数量的财物或任务给某些人、单位或事业等”, 如:
We've allocated a sum of money to education.
我们已经拨出了一笔教育经费
assign: to give sb sth that they can use, or some work or responsibility or to provide a person for a particular task or position 是指“给某人分配工作,任务,作业等”
The teacher assigned a different task to each of the children. 老师给每个儿童布置的作业都不相同
distribute指“将某物分成一定的部分或数量, 通常各份的数量不一定相等, 然后分给某些人或地方”, 如:
distribute leaflets 派发传单