Yes. Students with a residence permit for study can work.
Yes. Students with a residence permit for study can work. EU/EEA students can work without restrictions. Non-EU students can work up to 30 hours per week during term time and full time during holiday periods. You do not need a separate work permit - your student residence permit covers this.
Common mistake
Good to know
Make sure you get a tax card before starting work to avoid the 60% default withholding rate. Working during studies is common and encouraged in Finland. Note that earning too much may affect your student financial aid from Kela - there are annual income limits.