Database
db={"projects":[{"name":"Project 1","skillsetCombinations":[["A","B","D"],["A","B","E"],["A","C","D"]]},{"name":"Project 2","skillsetCombinations":[["X","Y","Z"],["A","B","D","E"],["U","V","W"]]},{"name":"Project 3","skillsetCombinations":[["A","B","E"],["A","C","D"],["A","B"]]}]}
Query
db.projects.aggregate([{$addFields:{mapVal:{$map:{input:"$skillsetCombinations",as:"skillsetCombinations",in:{$setIsSubset:["$$skillsetCombinations",["A","B"]]}}}}},{$addFields:{mapValResult:{$reduce:{input:"$mapVal",initialValue:false,in:{$or:["$$value","$$this"]}}}}},{$match:{"mapValResult":true}},{$project:{"mapVal":0,"mapValResult":0}}])