Since the answer choices are near the number 10 and no straightforward method comes to mind within 30 seconds, we can go with manually counting favorable cases.
Assume the order of people on Friday from 1st seat to the last seat was A B C D, where A,B,C,D are the people.
So to count total seatings on Saturday, let's start with arrangements starting from A
A C B D
A D C B
Total = 2
Now arrangements starting with B,
B A D C
B D A C
B D C A
Total = 3
Arrangements starting with C,
C A D B
C B A D
C B D A
Total = 3
Arrangments starting with D,
D A C B
D B A C
D C B A
Total = 3
So total count = 2+3+3+3 = 11. Choice D
Assume the order of people on Friday from 1st seat to the last seat was A B C D, where A,B,C,D are the people.
So to count total seatings on Saturday, let's start with arrangements starting from A
A C B D
A D C B
Total = 2
Now arrangements starting with B,
B A D C
B D A C
B D C A
Total = 3
Arrangements starting with C,
C A D B
C B A D
C B D A
Total = 3
Arrangments starting with D,
D A C B
D B A C
D C B A
Total = 3
So total count = 2+3+3+3 = 11. Choice D
Statistics : Posted by 8Harshitsharma • on 02 May 2024, 01:38 • Replies 3 • Views 119