It's the rules. From all the Togami siblings fifteen were selected to compete, and the prize was the headship of the family. The 107 who lost were thrown out of the family, destined to live as commoners for the rest of their lives.

[It's ruthless, but hey, it's the Togami family, so what's the surprise]

To aid those who were judged unfitting for the family name would be a scandal among us, no matter what intention I had.