Counted -- bound to include everyone (7)
I believe the answer is:
tallied
'counted' is the definition.
(tallying is a kind of counting)
'bound to include everyone' is the wordplay.
'bound' becomes 'tied' (I've seen this before).
'to include' indicates putting letters inside.
'everyone' becomes 'all' (I've seen this before).
'tied' going around 'all' is 'TALLIED'.
(Other definitions for tallied that I've seen before include "Agreed; calculated" , "Matched" , "Corresponded - kept score" , "Reckoned debt or score" , "Agreed, corresponded" .)