Clustered index when not always in the WHERE clause

Question about clustered indices. I have a table like:

id
club_id
event_id
type
...

Clubs are 1-n to events in my system. In this particular table there
are times when the event_id will be null. I'll be running two queries:

WHERE club_id = 'a' AND type = y
WHERE event_id = 'b' AND type = z

If I understand the value of clustering correctly, it would be best to
have a clustered index on (club_id, event_id). This would put all of
the rows with the same club_id together and all of the event_id rows
together which will benefit both queries above, correct?

Originally I thought about clustering only on club_id which would get
similar event_ids close but not perfectly in order. Any reason not to
cluster on the multiple column index?

This table has say 1mm rows but filtering by club_id or event_id will
reduce the results down to less than a couple hundred rows in most cases.

Thanks,

Brian