The letters for the word math are placed in a bag. Two letters are selected with replacement. Which statements are true about the tree diagram that could represent the possible outcomes? Select all that apply.

A. There would be 4 tree bases.
B. Each base would have 3 tree branches.
C. The diagram would show a total of 12 possible outcomes.
D. There would be 4 combinations that have double letters..

A. There would be 4 tree bases.

B. Each base would have 4 tree branches.
C. The diagram would show a total of 16 possible outcomes.
D. There would be 3 combinations that have double letters.

well whats the answers?

I apologize for the confusion. Here are the correct answers:

A. There would be 4 tree bases.
B. Each base would have 4 tree branches.
C. The diagram would show a total of 16 possible outcomes.
D. There would be 3 combinations that have double letters.

A. There would be 4 tree bases. - False. Since there are only 4 different letters in the word "math", there would be 4 branches, not tree bases.

B. Each base would have 3 tree branches. - False. Each branch would contain the same letter, but since there are only 4 different letters in the word "math", each base would have 4 tree branches.

C. The diagram would show a total of 12 possible outcomes. - False. Since there are only 4 different letters in the word "math" and we are selecting with replacement, there would be 4 possible outcomes for each selection, resulting in a total of 4 * 4 = 16 possible outcomes.

D. There would be 4 combinations that have double letters. - False. Since we are selecting with replacement, the same letter can be selected twice in a single selection. Therefore, there would be more than 4 combinations that have double letters.