Six people are going to sit in a row on a bench. $A$ and $B$ are adjacent. $C$ does not want to sit adjacent to $D$ . $E$ and $F$ can sit anywhere. Number of ways in which these six people can be seated, is

200

No worries! We‘ve got your back. Try BYJU‘S free classes today!

144

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

120

No worries! We‘ve got your back. Try BYJU‘S free classes today!

56

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $144$
Solution -
Six people - A, B, C, D, E, F
A and B are adjacent
C and D are not adjacent
No. of ways in which A and B are adjacent
$= 5! \times 2! = 240$
No. of ways in which A and B are adjacent
and C and D are adjacent
$= 4! \times 2! \times 2! = 96$
No. of ways in which A and B are adjacent
and C and D are not
adjacent $= 240 - 96$
$= 144$
B is correct

Suggest Corrections

Similar questions

Q. There are 6 friends A,B,C,D,E and F. B does not want to sit next to D,E or F and E does not want to sit next to A,B or C. In how many ways can you arrange these 6 people around a circular table?

Q. Study the following information to answer the given questions given below it.
Twelve people are sitting in two parallel rows containing six people each, in such a way that there is an equal distance between adjacent persons. In row 1, P, Q, R, S, T and V are seated and all of them are facing south. In row 2, A, B, C, D, E and F are seated and all of them are facing north. Therefore, in the given seating arrangement, each member seated in a row faces another member of the other row. A sits third to the right of D. Neither A nor D sits at extreme ends. T faces D. V does not face A and V does not sit at any of the extreme ends. V is not an immediate neighbour of T. B sits at one of the extreme ends. Only two people sit between B and E. E does not face V. Two persons sit between R and Q. R is not an immediate neighbour of T. C does not face V. P is not an immediate neighbour of R.
Which of the following is true regarding F?

Directions:- Study the following information carefully to answer the question given below.

Twelve people are sitting in two parallel rows containing six people each, in such a way that there is an equal distance between adjacent persons. In row - 1 A, B, C, D, E and F are seated and all of them are facing south. In row - 2 P, Q, R, S, T and V are seated and all of them are facing north. Therefore, in the given seating arrangement each member seated in a row faces another member of the other row.
V sits third to right of S. S faces F and F does not sit at any of the extreme ends of the line. D sits third to right of C. R faces C. The one facing E sits third to right of P. B and P do not sit at the extreme ends of the line. T is not an immediate neighbour of V and A is not an immediate neighbour of C.

Who amongst the following represent the people sitting at extreme ends of the rows?

Q. Study the following information to answer the given questions given below it.
Twelve people are sitting in two parallel rows containing six people each, in such a way that there is an equal distance between adjacent persons. In row 1, A, E, C, D, E and F are seated and all of them are facing south. In row 2, P, Q, R, T and V are seated and all of them are facing north. Therefore, in the given seating arrangement, each member seated in a row faces another member of the other row. V sits third to the right of S. S faces F and F does not sit at any of the extreme ends of the line. D sits third to the right of C. R faces C. The one facing E sits third to the right of P. B and P do not sit at the extreme ends of the line.
T is not an immediate neighbour of V and A is not an immediate neighbour of C.
Who amongst the following represents the people sitting at extreme ends of the rows?

Join BYJU'S Learning Program

Six people are going to sit in a row on a bench. A and B are adjacent. C does not want to sit adjacent to D. E and F can sit anywhere. Number of ways in which these six people can be seated, is

Six people are going to sit in a row on a bench. $A$ and $B$ are adjacent. $C$ does not want to sit adjacent to $D$ . $E$ and $F$ can sit anywhere. Number of ways in which these six people can be seated, is