Database
[{"_id":"doc2","path":"/f10/f2/","pathArray":["f10","f2"],"pathArrayMulti":[["f10","f2"],["f1"]]},{"_id":"doc3","path":"/f10/f3/","pathArray":["f10","f3"],"pathArrayMulti":[["f10","f3"],["f1"]]},{"_id":"doc4","path":"/f10/f4/","pathArray":["f10","f4"],"pathArrayMulti":[["f10","f4"],["f1"]]},]
Query
db.collection.find({"pathArrayMulti":{$elemMatch:{$elemMatch:{$in:["f3"]}}}})