[{a:1,b:1,c:[{cA1:"CA1",CB1:{CBA:"abc1",CBB:"abcd",CBC:"ancdf",},},{cA1:"CA1",CB1:{CBA:"abc2",CBB:"abcd1",CBC:"ancdf2",},},],},{a:1,b:1,c:[{cA1:"CA1",CB1:{CBA:"abc3",CBB:"abcd3",CBC:"ancdf3",},},{cA1:"CA1",CB1:{CBA:"abc2",CBB:"abcd1",CBC:"ancdf2",},},],},{a:1,b:1,c:[{cA1:"CA1",CB1:{CBA:"abc4",CBB:"abcd4",CBC:"ancdf4",},},{cA1:"CA1",CB1:{CBA:"abc24",CBB:"abcd5",CBC:"ancd6",},},],},{a:1,b:1,c:[{cA1:"CA1",CB1:{CBA:"abc1",CBB:"abcd",CBC:"ancdf",},},{cA1:"CA1",CB1:{CBA:"abc2",CBB:"abcd1",CBC:"ancdf2",},},],},]

db.collection.update({c:{$elemMatch:{$or:[{"CB1.CBA":"abc2","CB1.CBB":"abcd1"},{"CB1.CBA":"abc1","CB1.CBB":"abcd"}]}}},[{$set:{delete:{$size:{$filter:{input:"$c",cond:{$or:[{$and:[{$eq:["$$this.CB1.CBA","abc1"]},{$eq:["$$this.CB1.CBB","abcd"]}]},{$and:[{$eq:["$$this.CB1.CBA","abc2"]},{$eq:["$$this.CB1.CBB","abcd1"]}]}]}}}}}},{$set:{c:{$cond:[{$eq:["$delete",2]},[],"$c"]},delete:"$$REMOVE"}}],{multi:true})