I have following questions.
1) Dir sync is used for migrating user accounts and passwords to office 365.
If we have Dir sync ,and we have on premises 2013 server, can I log in to office 365 and on premises with same username and password.( Can we have single sign on)
2) If this is true, then why should I have ADFS ?
3) If I have on premises 2013 exchange server and o365 in hybrid mode.
can I route mail flow directly from o365 to outside world instead of routing through on premiss exchange server.
for that any steps needed.