grieve, be sad, pity
閔 centers on a heavy, sorrowful emotional state: grieving, being sad, or feeling pity for suffering.
閔 combines 門 (gate) with 文 (writing, pattern). The exact historical development is uncertain, but it likely relates to sorrow or pity expressed through written or ritual forms at a gate.
Inside the gate 門, a written message 文 brings sad news, causing those who read it to grieve and feel pity.
For ビン, imagine a bin of tear-stained letters arriving at the gate: bin -> ビン, and each letter is filled with grief.