to leave (a matter, decision, etc. to someone); to entrust (to someone); to entrust (someone) with

to leave (to chance, one's imagination, etc.); to let (take its own course); to let (happen); to give (oneself to something)

As ...に任せて

to use (money, strength, spare time, etc.) to the full; to use freely; to use without reserve

duty; responsibility (incl. supervision of staff)

liability; onus

duty; function; office; mission; task; role

leaving (a decision, job, etc.) to someone else; entrusting

leaving the choice of a meal to the chef; omakase

Oft. in the passive

to entrust (to someone); to leave (in someone's hands)

person in charge (including a supervisory role for other staff); person responsible for ...; responsible party; supervisor; manager

irresponsibility

to take responsibility (for a fallout); to accept the blame; to take the blame

assumption (of office); taking up (a post); inauguration; installation

to be responsible for; to bear the responsibility of