The Bard has proficiency with 3 instruments (e.g, Lute, Viol, Panflute) and starts with 1 (e.g. Lute). Selecting the Entertainer background allows for proficiency with 1 other instrument (e.g. Drum) and starting with a 2nd musical instrument (e.g. Panflute). Is this overlap correct?
In particular, can my lvl 1 Bard start with proficiency in Lute, Viol, Drum, Panflute, and begin the campaign with a Lute and Panflute in his inventory?