Final answer:
For the wedding photograph, there are 720 different ways to arrange six people in a row, as calculated by the factorial of 6 (6!).
Step-by-step explanation:
The student's question is about the number of ways to arrange six people in a row for a wedding photograph, which is a problem that can be solved using the principles of permutations in mathematics, specifically factorial calculation.
Since there are six people to arrange, and no further constraints are given, we assume that all six are distinct and can be arranged in any order. Therefore, we can arrange the first person in 6 ways, the second person in 5 ways, and so on, until we arrange the last person in 1 way. This is calculated using the formula for the permutations of 'n' distinct objects, which is n! (n factorial).
So, for six people, the number of different arrangements is:
6! = 6 × 5 × 4 × 3 × 2 × 1 = 720
Therefore, there are 720 different ways to arrange the six people in a row for a wedding photograph.