to assign / to appoint / to take up a post / office / responsibility / to let / to allow / to give free rein to / no matter (how, what etc) / classifier for terms served in office, or for spouses, girlfriends etc (as in 前任男友)
任
=
亻
+
壬
:
An assignment written down on a heap of paper. Robinson Crusoe agreed to take care of Rosa Luxemburg's cat o' nine tails for a few days. Rosa wrote down his assignment on paper and handles him the heap in the encampment's bathroom.