Brad is uncertain about what dessertthey will serve at the DA party this year. He constructs three degrees for his distinction: "one ingredient will be sugar," "one ingredient will be milk," and "this...

Brad is uncertain about what dessertthey will serve at the DA party this year. He constructs three degrees for his distinction: "one ingredient will be sugar," "one ingredient will be milk," and "this dessert will contain neither sugar nor milk."

A. The degrees of Brad's distinction are mutually exclusive.

B. The degrees of Brad's distinction are collectively exhaustive.

Which of the statements are true?

i. A only                  ii. B only

iii. Both A and B    iv. Neither A nor B