Question 144616: An order of award presentations has been devised for seven people: Jeff, Karen, Lyle,Maria, Norm, Olivia, and Paul.In how many ways can the awards be presented so that Maria and Olivia will be next to each other?
A) 1220 B) 1680
C) 720 D) 1440
Please explain!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! An order of award presentations has been devised for seven people: Jeff, Karen, Lyle,Maria, Norm, Olivia, and Paul.In how many ways can the awards be presented so that Maria and Olivia will be next to each other?
A) 1220 B) 1680
C) 720 D) 1440
Please explain!
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Maria and Olivia can be arranged in 2 ways.
Considering those two as one person the group can be arranged in 6! = 720 ways
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Total number of arrangements is 2*720 = 1440
Cheers,
Stan H.
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