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 2 combinations that have double letters.
Explanation:
A. There are four letters in the word "math" so there would be four tree bases.
B. With replacement, there are four possible outcomes for each selection (M, A, T, or H), so each base would have four tree branches.
C. The total number of possible outcomes is found by multiplying the number of options (4) by itself (two times, since we are selecting two letters): 4 x 4 = 16.
D. The two combinations that have double letters are MM and TT.