Final answer:
There are 12 different possible outcomes when each spinner shown below is spun one time, thus the correct option is 4.
Explanation:
Spinner 1 has 8 possible outcomes (1,2,3,4,5,6,7,8). Spinner 2 has 9 possible outcomes (1,2,3,4,5,6,7,8,9). Spinner 3 has 10 possible outcomes (1,2,3,4,5,6,7,8,9,10). Spinner 4 has 12 possible outcomes (1,2,3,4,5,6,7,8,9,10,11,12). Therefore, when each of the spinners is spun one time, the total number of possible outcomes is 8x9x10x12 = 8640. This means that there are 8640 different possible outcomes when each spinner is spun one time.
To determine the number of unique outcomes, we can use the fundamental counting principle. The fundamental counting principle states that if there are n number of choices for the first event, m number of choices for the second event, and so on, then the total number of possible outcomes is n x m x ... x n. Applying this principle to the four spinners, we can calculate that the total number of unique outcomes is 8 x 9 x 10 x 12 = 8640. This means that there are 8640 different possible outcomes when each spinner is spun one time.
To calculate the number of unique outcomes for each spinner, we can use the factorial principle. The factorial principle states that if there are n number of choices for the first event, m number of choices for the second event, and so on, then the total number of unique outcomes is n! x m! x ... x n!. Applying this principle to the four spinners, we can calculate that the total number of unique outcomes is 8! x 9! x 10! x 12! = 8640. This means that there are 8640 different possible outcomes when each spinner is spun one time.
In conclusion, there are 12 different possible outcomes when each spinner shown below is spun one time. This can be determined by using the fundamental counting principle and the factorial principle.