diff --git a/collection/multiset.rkt b/collection/multiset.rkt
index ddb4e75..bcb3538 100644
--- a/collection/multiset.rkt
+++ b/collection/multiset.rkt
@@ -18,6 +18,8 @@
   [multiset-set-frequency (-> multiset? any/c natural? multiset?)]
   [multiset-contains? (-> multiset? any/c boolean?)]
   [multiset-contains-all? (-> multiset? multiset-coercible-sequence/c boolean?)]
+  [multiset-contains-any? (-> multiset? multiset-coercible-sequence/c boolean?)]
+  [multiset-contains-none? (-> multiset? multiset-coercible-sequence/c boolean?)]
   [multiset-frequency (-> multiset? any/c natural?)]
   [multiset-frequencies (-> multiset? (immutable-hash/c any/c exact-positive-integer?))]
   [multiset-size (-> multiset? natural?)]
@@ -346,6 +348,7 @@
 (module+ test
   (test-case (name-string multiset-contains-all?)
     (define letters (multiset 'a 'b 'b 'b 'c 'c 'd))
+    (check-true (multiset-contains-all? letters (list)))
     (check-true (multiset-contains-all? letters (list 'a 'b)))
     (check-true (multiset-contains-all? letters (list 'a 'a 'a 'a 'a)))
     (check-false (multiset-contains-all? letters (list 'c 'd 'e 'f)))
@@ -356,6 +359,44 @@
     (check-false (multiset-contains-all? letters (multiset 'e 'e 'e)))))
 
 
+(define (multiset-contains-any? set seq)
+  (let* ([seq (if (multiset? seq) (multiset-unique-elements seq) seq)])
+    (for/or ([v seq])
+      (multiset-contains? set v))))
+
+
+(module+ test
+  (test-case (name-string multiset-contains-any?)
+    (define letters (multiset 'a 'b 'b 'b 'c 'c 'd))
+    (check-false (multiset-contains-any? letters (list)))
+    (check-true (multiset-contains-any? letters (list 'a 'b)))
+    (check-true (multiset-contains-any? letters (list 'a 'a 'a 'a 'a)))
+    (check-true (multiset-contains-any? letters (list 'c 'd 'e 'f)))
+    (check-false (multiset-contains-any? letters (list 'e 'e 'e)))
+    (check-true (multiset-contains-any? letters (multiset 'a 'b)))
+    (check-true (multiset-contains-any? letters (multiset 'a 'a 'a 'a 'a)))
+    (check-true (multiset-contains-any? letters (multiset 'c 'd 'e 'f)))
+    (check-false (multiset-contains-any? letters (multiset 'e 'e 'e)))))
+
+
+(define (multiset-contains-none? set seq)
+  (not (multiset-contains-any? set seq)))
+
+
+(module+ test
+  (test-case (name-string multiset-contains-none?)
+    (define letters (multiset 'a 'b 'b 'b 'c 'c 'd))
+    (check-true (multiset-contains-none? letters (list)))
+    (check-false (multiset-contains-none? letters (list 'a 'b)))
+    (check-false (multiset-contains-none? letters (list 'a 'a 'a 'a 'a)))
+    (check-false (multiset-contains-none? letters (list 'c 'd 'e 'f)))
+    (check-true (multiset-contains-none? letters (list 'e 'e 'e)))
+    (check-false (multiset-contains-none? letters (multiset 'a 'b)))
+    (check-false (multiset-contains-none? letters (multiset 'a 'a 'a 'a 'a)))
+    (check-false (multiset-contains-none? letters (multiset 'c 'd 'e 'f)))
+    (check-true (multiset-contains-none? letters (multiset 'e 'e 'e)))))
+
+
 (define (frequency-hash->list frequencies)
   (for*/list ([(elem freq) (in-hash frequencies)]
               [_ (in-range freq)])
diff --git a/collection/multiset.scrbl b/collection/multiset.scrbl
index 4041ba0..38b3608 100644
--- a/collection/multiset.scrbl
+++ b/collection/multiset.scrbl
@@ -108,6 +108,26 @@ except it can contain duplicate elements. Elements are always compared with
    (multiset-contains-all? (multiset 1 1 1 2 3 3) (list 1 1 1 1 1 1 1)))}
 
 
+@defproc[(multiset-contains-any? [set multiset?] [seq (sequence/c any/c)]) boolean?]{
+ Returns @racket[#true] if @racket[set] contains at least one element of @racket[seq], returns
+ @racket[#false] otherwise. Returns @racket[#false] if @racket[seq] is empty.
+
+ @(examples
+   #:eval (make-evaluator) #:once
+   (multiset-contains-any? (multiset 1 2 3) (list 2 4 6))
+   (multiset-contains-any? (multiset 1 2 3) (list 10 20 30)))}
+
+
+@defproc[(multiset-contains-none? [set multiset?] [seq (sequence/c any/c)]) boolean?]{
+ Returns @racket[#true] if @racket[set] does not contain any element of @racket[seq], returns
+ @racket[#false] otherwise. Returns @racket[#true] if @racket[seq] is empty.
+
+ @(examples
+   #:eval (make-evaluator) #:once
+   (multiset-contains-none? (multiset 1 2 3) (list 2 4 6))
+   (multiset-contains-none? (multiset 1 2 3) (list 10 20 30)))}
+
+
 @defproc[(multiset-unique-elements [set multiset?]) set?]{
  Removes all duplicate elements from @racket[set], returning the resulting set.