Channel Entries Related Entries Filtering with Count

Question

Lets say I have Channel A and B.

Channel A has a Field X which is a relationship to channel B.

Is there a way for the {exp:channel:entries} tag to get

1. only those Channel B entries that are referred by current entries in Channel A?
2. the number of entries in Channel A that are associated to each respective Channel B entries?

For example:

If Channel A has these entries

Entry 1, Relationship to Channel B entry 1
Entry 2, Relationship to Channel B entry 1
Entry 3, Relationship to Channel B entry 2

and Channel B has these entries

Entry 1, Foo
Entry 2, Bar
Entry 3, Test

then

No. 1 should return

Entry 1, Foo
Entry 2, Bar

No. 2 should return

Entry 1, Foo, Referred 2 times
Entry 2, Bar, Referred 1 time

Answer 1

Playa's Parent & Children tags should do what you're looking for. They have documentation on converting a native Relationship field to a Playa field.