I am in H1-B Visa and got married in August 2016. My Wife has H4 visa and came to US on 10th December 2016. Can I file the taxes in married filing together category.

I am in H1-B Visa and got married in August 2016. My Wife has H4 visa and came to US on 10th December 2016. Is she eligible for ITIN as she was in US for 21 days in 2016. Can I file the taxes in married filing together category ?