Question

Kristin has six places she needs to go to complete her errands: the bank, grocery store, gas station, hair salon, the dry cleaners, and the library. How many different orders can she choose to complete her errands?

A. 7,776
B. 15,625
C. 36
D. 720

Answer 1

To determine the different orders in which Kristin can complete her errands, we need to find the number of permutations. Since there are 6 places Kristin needs to go to, the answer is 720.

Step-by-step explanation:

To determine the different orders in which Kristin can complete her errands, we need to find the number of permutations. Permutations are arrangements of objects where the order matters. Since there are 6 places Kristin needs to go to, there are 6 choices for the first place, 5 choices for the second place, 4 choices for the third place, and so on.

To find the total number of permutations, we multiply these choices together: 6 × 5 × 4 × 3 × 2 × 1 = 720. Therefore, the answer is Option D. 720.