Pierce, age $68,$ died this year. Pierce never married and had no children. Pierce listed his mother as the beneficiary on his qualified plan years ago. Pierce$$s mother pre$-$deceased him by five years, and he never updated his beneficiaries. Which of the following will happen to the balance in his qualified plan?

Group of answer choices

The account must be distributed within five years of Pierce$$s date of death.

The account must be distributed within $10$ years of Pierce$$s date of death.

The account must be distributed based on Pierce$$s life expectancy in the year of death $($reduce by one$).$

Distributions must continue each year based on Pierce$$s life expectancy in the year of death $($reduce by one$)$ with full distribution by December $31$st of the year containing the $10$th anniversary of Pierce$$s death.