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Six friends go to watch a movie. They are supposed to occupy seat numbers 51 to 56. However one of them falls sick and r

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Six friends go to watch a movie. They are supposed to occupy seat numbers 51 to 56. However one of them falls sick and r

by BTGModeratorVI » Tue Feb 16, 2021 8:19 am

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Six friends go to watch a movie. They are supposed to occupy seat numbers 51 to 56. However one of them falls sick and returns home. In how many different ways can the 5 people sit?

A. 240
B. 480
C. 600
D. 720
E. 960

Answer: D
Source: Veritas Prep
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Re: Six friends go to watch a movie. They are supposed to occupy seat numbers 51 to 56. However one of them falls sick a

by Brent@GMATPrepNow » Wed Feb 24, 2021 9:22 am
BTGModeratorVI wrote: ↑
Tue Feb 16, 2021 8:19 am
 Six friends go to watch a movie. They are supposed to occupy seat numbers 51 to 56. However one of them falls sick and returns home. In how many different ways can the 5 people sit?

A. 240
B. 480
C. 600
D. 720
E. 960

Answer: D
Source: Veritas Prep
We must assign each of the 5 remaining friends to one of the 6 seats.
So, the 1st friend has 6 options
Next, the 2nd friend has 5 options remaining
The 3rd friend has 4 options
The 4th friend has 3 options
And 5th friend has 2 options
TOTAL number of ways to sit the 5 people = (6)(5)(4)(3)(2) = 720

Answer: D
Brent Hanneson - Creator of GMATPrepNow.com
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