Carol Jackson, aged $26,$ and her son, Billy, aged $2,$ lived all year with Carol's mother, Jane. Carol's earned income

and adjusted gross income $(AGI)$ were both $$22,000.$ Jane's earned income and AGI were both $$17,000.$ Randall,

Billy's father, did not live with Billy $at$ all during the year but was permitted visitation. Who may claim the earned

income credit using Billy $as$ a dependent for the current year?

$A.$ Randall

$B.$ Carol

$C.$ Jane

$D.No$ one