assign

Decide as to where something belongs in a scheme.

“The biologist assigned the mushroom to the proper class”

Attribute or give.

Make undue claims to having.

Give an assignment to (a person) to a post, or assign a task to (a person).

Select something or someone for a specific purpose.

“The teacher assigned him to lead his classmates in the exercise”

Give out.

“We were assigned new uniforms”

Attribute or credit to.

Transfer one's right to.