The number of possibilities can be calculated as the product of the choices for each day is 5,040. Therefore, the correct answer is (d) 5,040.
To figure out the number of possibilities for Jenni to choose one DVD for each of the next four days from the store's 10 most popular DVDs, you can use the concept of permutations.
For the first day, she has 10 DVDs to choose from.
For the second day, since she has already chosen one DVD, there are 9 left. This pattern continues until she has chosen a DVD for each of the four days.
The number of possibilities can be calculated as the product of the choices for each day:
10×9×8×7=5,040
Therefore, the correct answer is (d) 5,040.