ANSWER
[tex]72[/tex]EXPLANATION
We want to find the number of possible outcomes.
To do this, we have to find the product of the number of outcomes from choosing a letter from the word and the possible outcomes from three coin tosses.
There are 9 distinct letters in the word TRANSFORMATION. They are:
T, R, A, N, S, F, O, M, I
Therefore, the number of possible outcomes is 9.
When a coin is tossed once, the number of possible outcomes is 2 (head or tail). When it is tossed 3 times, the number of possible outcomes is:
[tex]\begin{gathered} 2\cdot2\cdot2=2^3 \\ \Rightarrow8 \end{gathered}[/tex]Therefore, the number of possible outcomes for choosing the word and tossing a coin three times is:
[tex]\begin{gathered} 9\cdot8 \\ \Rightarrow72 \end{gathered}[/tex]