Compounds of 任

• 運任せ
  (n) trusting or resignation to fate
• 気任せ
  (adj-na,n) doing as one pleases
  following one's nose
• 口任せ
  (n) random talk
• 在任中
  (n) (while) holding a post or being in office
• 主任者
  (n) person in charge
  manager
  chief
  head
• 主任制
  (n) a system under which schoolteachers are assigned additional administrative duties
• 就任式
  (n) inauguration ceremony
  installation
• 出任せ
  (adj-na,n) random speech
• 初任給
  (n) initial salary
  (P)
• 信任状
  (n) credentials
• 信任票
  (n) vote of confidence
• 心任せ
  (n) as one pleases
• 親任官
  (n) official appointed by the Emperor
• 親任式
  (n) investing of an official appointed by the Emperor
• 人任せ
  (n) leaving (it) to others
• 責任感
  (n) sense of responsibility
  (P)
• 責任者
  (n) person in charge (including a supervisory role for other staff)
  person responsible for ...
  responsible party
  (P)
• 先任者
  (n) senior official
  senior members
• 先任順
  (n) order of seniority
• 前任者
  (n) predecessor
• 前任地
  (n) former post
• 全責任
  (n) full responsibility
• 足任せ
  (n) walking wherever one's legs lead one
  wandering
• 退任展
  (n) farewell exhibition
  retrospective (exhibition)
  exhibition in commemoration of retirement
• 勅任官
  (n) imperial appointee
• 適任者
  (n) suitable person
  well-qualified person
  responsible party
  responsible person
• 転任先
  (n) one's new post
• 任じる
  (v1,vi) to appoint
  to nominate
  to assume (responsibility)
  to pose as
• 任ずる
  (vz) to appoint
  to nominate
  to assume (responsibility)
  to pose as
• 任せる
  (v1,vt) (1) to entrust (e.g. a task) to another
  to leave to
  (2) to passively leave to someone else's facilities
  (3) to leave to take its natural course
  (4) to continue (something) in a natural fashion (without particular aim)
  (5) to rely fully on one's (full strength, great ability, long time taken) to get something done
  (P)