How many ways can a photographer at a wedding arrange 6 people...?
in a row from a group of 10 people, where the bride and the groom are among these 10 people if...
a) both the bride and groom must be in the picture
bride & groom are compulsory, so choose 4 from remaining 8 , ie in 8c4 ways
now consider bride & groom as one and arrange along with 4 others in 5! ways
also, bride & groom can exchange places, ie be as [BG] or [GB] = 2 ways
putting the pieces together,
# of ways = 8c4*5!*2
= 16,800
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edit:
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oops ! it doesn't say the bride & groom have to be together
so the ans is obtained by
[choose 4 people other than bride & groom from 8]*
[arrange 6 people]
= 8c4*6!
= 50,400
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