Q. Can they invite a large group of friends to celebrate with them and join at that time including some members of my family?
A. As wee mentioned above, Tiferet Efraim pp. 481-482 quotes Rav Shmuel Kamenetsky (Kovetz Halachot pp. 15-18) who permitted going to a sports game even during the Nine Days and didn't consider the music to be a problem. Since the music isn't the main focus and is just incidental, it is fine. However, he also quotes Rav Moshe Feinstein (Shemaytata Dmoshe 551:6) as holding that it is permitted during the Three Weeks but not the Nine Days. Rav Soloveitchik as quoted there, held that going to a sports game is forbidden during the Three Weeks because it is a group activity, where being there with others is a simcha shel rabbim.
Rabbi A. Bartfeld as revised by Horav Y. Hirshman, Horav Dovid Pam, Horav Aharon Miller and Horav Chanoch Ehrentreu, Horav Kalman Ochs, and Horav Dovid Bartfeld consulting in need Horav Hagaon Rav Yitzchak Berkowitz Shlit’a
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