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04 Oct 2016, 07:12
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On six seating chairs including one red chair around a big round table , A, B, C, D, E, F each sit on a chair. A must sit on the red chair and B must be beside A. How many seating arrangement are?
A. 36 B. 40 C. 44 D. 48 E. 64
A. 36 B. 40 C. 44 D. 48 E. 64
Senthil1981
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04 Oct 2016, 09:35
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MathRevolution
On six seating chairs including one red chair around a big round table , A, B, C, D, E, F each sit on a chair. A must sit on the red chair and B must be beside A. How many seating arrangement are?
A. 36 B. 40 C. 44 D. 48 E. 64
A. 36 B. 40 C. 44 D. 48 E. 64
Since the Red chair is fixed (assuming) for A, then it's simple to calculate for the remaining 5 people.
B has 2 choices and the rest have 4! ways of sitting,
so no. of seating arrangements = 2 * 4! = 2 * 24 = 48
04 Oct 2016, 09:36
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MathRevolution
On six seating chairs including one red chair around a big round table , A, B, C, D, E, F each sit on a chair. A must sit on the red chair and B must be beside A. How many seating arrangement are?
A. 36 B. 40 C. 44 D. 48 E. 64
A. 36 B. 40 C. 44 D. 48 E. 64
Lets fix A at its red chair.
Now, consider B is on the left of A. Other people can take any option out of the pending four.
So, number of ways = 4!
Consider B is on the right of A. Similar to above, number of ways = 4!
Total ways = 4! + 4! = 48. Hence, D
