score:2
Yes. January 31 would be day 1 and February 9 would be day 10.
Your quarantine obligation no longer exists on February 10.
The government has an official website concerning travel and quarantine measures according to your travel plan/history at https://reizentijdenscorona.rijksoverheid.nl/, including the possibility to shorten the quarantine with an additional test on day 5 or after.