Frances $(63)$ shared a home all year with her son, Antonio $(41),$ and Antonio's son, Danny $(23).$ They were all U$.$S$.$ citizens, lived in the U$.$S$.$ all year, and all had social security numbers valid for employment. Frances and Antonio worked full$-$time. Danny was a part$-$time student during the year; he took one class at the local community college. Danny also worked part$-$time and had wages of $$6,800.$ No one else lived in the home. Frances had earned income and an adjusted gross income of $$23,459.$ She had no foreign income or investment income. Antonio had earned income and an adjusted gross income of $$32,500.$ He had no foreign income or investment income. Who, if anyone, is eligible to claim and receive the Earned Income Credit?

$$Both Frances and Antonio.

$$Either Frances or Antonio but not both.

$$Frances only.

$$No one

$$