A photographer at a wedding can arrange 6 people in a row in various ways depending on conditions involving the bride and groom. Here are key scenarios:

• Total arrangements of 6 people: 6!=7206!=7206!=720 ways.
• If the bride must be next to the groom: Treat the bride and groom as a single unit. There are 5 units to arrange (the bride-groom pair plus 4 others), so 5!=1205!=1205!=120 ways. The bride and groom can switch positions within their pair, so multiply by 2. Total = 120×2=240120\times 2=240120×2=240 ways.
• If the bride is not next to the groom: Subtract the number of arrangements where they are next to each other from the total: 720−240=480720-240=480720−240=480 ways.
• If the bride is positioned somewhere to the left of the groom: Since in half of all arrangements the bride is to the left of the groom, the number of ways is 6!2=7202=360\frac{6!}{2}=\frac{720}{2}=36026!​=2720​=360 ways

These calculations assume all 6 people are distinct and include the bride and groom. Other variations can be calculated similarly by applying permutation principles and constraints.