Traditional $401($k$)$ versus Roth $401(k)$

Cho has decided to contribute to a savings program. She can open a traditional $401($k$)$ or a Roth $401(k)$ and has determined that she can afford a $$14,400$ contribution. Cho's salary is $$106,500$ per year, and she is in the $32\%$ tax bracket.

If Cho decides to go with a traditional $401(k),$ her contribution amount will be $$

And the amount offset via a reduced tax bill will be $$

If$,$ instead, Cho decides to go with a Roth $401(k),$ her contribution amount will be $$

And the amount offset via a reduced tax bill will be $$

Assuming all the same facts, suppose that Cho decides to open both $401(k)$ plans, splitting what she can afford to contribute equally between both plans.

Under this scenario, Cho's contribution amount will be $$

And the amount offset via a reduced tax bill will be $$

When Cho retires, which plan's monies will she be able to exclude from taxable income? $$