To Entrust Something
To Delegate Something, To Leave Something To
transitive verb, godan verb
The meaning of this word is the same as 任せる. Both words are pretty common, but 任す is slightly less common than 任せる.
Here's the mnemonic again, just in case you need a refresher:
If you pass a duty on to someone, that means you're going to entrust something to that person, or you're going to delegate something. In other words, you're going to leave something to them, so that they do it for you.
This uses the same reading you learned with 任せる.
I'll leave everything about this store to your judgment.
I'm happy to be entrusted with a big job, but I'm also a little nervous.
I'm Tanaka and I've been assigned as project manager. I look forward to working with you all.