How many different ways can eight people be lined up for a wedding picture if the bride and groom must be in the center?

Answer 1

-- The 6 people around the couple can line up in (6 x 5 x 4 x 3 x 2 x 1) = 720 ways. For each of those . . .

-- The bride and groom can stand in the middle in 2 different ways.

Total possible ways to arrange all 8 people with bride & groom in the middle = 720 x 2 = 1,440 ways.

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You didn't make it clear whether the bride & groom are 2 of the 8 people, or if

there are 8 more people in addition to the couple. Up above, I assumed that

there are 6 others in addition to the B & G. If there are 8 more plus the B & G,

then you have . . .

-- (8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) = 40,320 ways for the 8 guests to stand around

the hole in the middle

-- 2 ways for the B & G to stand in the middle

Total = (40,320 x 2) = 80,640 ways to arrange the couple in the middle with

four other people on each side of them.