diff --git a/NEWS.md b/NEWS.md
index 86721af196..2c3133c19b 100644
--- a/NEWS.md
+++ b/NEWS.md
@@ -1,3 +1,11 @@
+# DataFrames.jl v1.6 Release Notes
+
+## New functionalities
+
+* `Not` allows for passing multiple postiional arguments that are
+  treated as if they were wrapped in `Cols`
+  ([#3302](https://github.com/JuliaData/DataFrames.jl/pull/3302))
+
 # DataFrames.jl v1.5 Release Notes
 
 ## New functionalities
diff --git a/Project.toml b/Project.toml
index cc56cb70b2..464978361f 100644
--- a/Project.toml
+++ b/Project.toml
@@ -31,7 +31,7 @@ CategoricalArrays = "0.10.0"
 Compat = "4.2"
 DataAPI = "1.14.0"
 InlineStrings = "1.3.0"
-InvertedIndices = "1"
+InvertedIndices = "1.3"
 IteratorInterfaceExtensions = "0.1.1, 1"
 Missings = "0.4.2, 1"
 PooledArrays = "1.4.2"
diff --git a/docs/src/lib/indexing.md b/docs/src/lib/indexing.md
index 326b3e6d40..ed2ca488d6 100644
--- a/docs/src/lib/indexing.md
+++ b/docs/src/lib/indexing.md
@@ -33,6 +33,7 @@ The following values are a valid column index:
     * a `Not` expression (see
       [InvertedIndices.jl](https://github.com/JuliaData/InvertedIndices.jl));
       `Not(idx)` selects all indices not in the passed `idx`;
+      when passed as column selector `Not(idx...)` is equivalent to `Not(Cols(idx...))`.
     * a `Cols` expression (see
       [DataAPI.jl](https://github.com/JuliaData/DataAPI.jl)); `Cols(idxs...)`
       selects the union of the selections in `idxs`; in particular `Cols()`
diff --git a/src/other/index.jl b/src/other/index.jl
index b444bbdd9a..8daadca1c6 100644
--- a/src/other/index.jl
+++ b/src/other/index.jl
@@ -226,6 +226,8 @@ end
 @inline Base.getindex(x::AbstractIndex, ::Colon) = Base.OneTo(length(x))
 @inline Base.getindex(x::AbstractIndex, notidx::Not) =
     setdiff(1:length(x), getindex(x, notidx.skip))
+@inline Base.getindex(x::AbstractIndex, notidx::Not{InvertedIndices.NotMultiIndex}) =
+    setdiff(1:length(x), getindex(x, Cols(notidx.skip.indices...)))
 @inline Base.getindex(x::AbstractIndex, idx::Between) = x[idx.first]:x[idx.last]
 @inline Base.getindex(x::AbstractIndex, idx::All) =
     isempty(idx.cols) ? (1:length(x)) : throw(ArgumentError("All(args...) is not supported: use Cols(args...) instead"))
diff --git a/test/index.jl b/test/index.jl
index a9b5664fdd..a9b652b956 100644
--- a/test/index.jl
+++ b/test/index.jl
@@ -115,6 +115,9 @@ end
     si7 = SubIndex(i, Not(1:2))
     si8 = SubIndex(i, ["C", "D", "E"])
     si9 = SubIndex(i, Not(Not(["C", "D", "E"])))
+    si10 = SubIndex(i, Not(1, 2))
+    si11 = SubIndex(i, Not(:A, :B))
+    si12 = SubIndex(i, Not(2, "A"))
 
     @test copy(si1) == i
     @test copy(si2) == Index([:C, :D, :E])
@@ -125,6 +128,9 @@ end
     @test copy(si7) == Index([:C, :D, :E])
     @test copy(si8) == Index([:C, :D, :E])
     @test copy(si9) == Index([:C, :D, :E])
+    @test copy(si10) == Index([:C, :D, :E])
+    @test copy(si11) == Index([:C, :D, :E])
+    @test copy(si12) == Index([:C, :D, :E])
 
     @test_throws ArgumentError SubIndex(i, 1)
     @test_throws ArgumentError SubIndex(i, :A)
@@ -327,6 +333,8 @@ end
     push!(i, :x131)
     push!(i, :y13)
     push!(i, :yy13)
+    @test i[Not(2, 4, 5)] == [1, 3]
+    @test i[Not(2, :y13, "yy13")] == [1, 3]
     @test i[Not(Not(r"x1."))] == [2, 3]
     @test isempty(i[Not(Not(r"xx"))])
     @test i[Not(Not(r""))] == 1:5
diff --git a/test/indexing.jl b/test/indexing.jl
index 13a1890f83..7660a9601b 100644
--- a/test/indexing.jl
+++ b/test/indexing.jl
@@ -19,6 +19,15 @@ using Test, DataFrames, Unicode, Random
         @test dfx[!, 1] === df[!, names(dfx)[1]]
     end
 
+    @test df[!, Not(1, 2)] == DataFrame(c=7:9)
+    @test df[!, Not(:b, 1)] == DataFrame(c=7:9)
+    @test df[!, Not("c", :a)] == DataFrame(b=4:6)
+    @test df[!, Not(:b, "c", :a)] == DataFrame()
+    @test df[!, Not([1, 2], :b)] == DataFrame(c=7:9)
+    @test df[!, Not([:c, :a], :b)] == DataFrame()
+    @test df[!, Not([1, 2], 2)] == DataFrame(c=7:9)
+    @test df[!, Not([1, 2], [1, 2])] == DataFrame(c=7:9)
+
     @test df[1, 1] == 1
     @test df[1, 1:2] isa DataFrameRow
     @test df[1, r"[ab]"] isa DataFrameRow