A situation where people pass each other without meeting (e.g., one leaves just before another arrives); a passing/going-past each other.
駅で彼と入れ違いになってしまった。
I just missed him at the station (we passed each other).
入れ違いで会えなかったのは残念だ。
It's a shame we couldn't meet because of the timing mismatch.
予定が入れ違いになって調整が必要だ。
The schedules are out of sync and need adjusting.
Inserting items in the wrong order; a mix-up where things are put in the incorrect sequence.
名簿を入れ違いに登録してしまい、番号がずれてしまった。
I registered the roster in the wrong order and the numbers became misaligned.
書類が入れ違いになって届き、確認に時間がかかった。
The documents arrived in the wrong order, and it took time to check them.