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

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144

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120

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56

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Solution

The correct option is A $200$
A, B, C, D, E, F
Consider AB as group so we have AB, C, D, E, F.
We have totally $5$
No. of ways $(w_{1}) = 5! \times 2$
$= 240$
Let CD are adjacent now AB, CD, E, F
No. of ways $(w_{2}) = 4! 2! 2!$
$= 96$
Total no. of ways
$W = w_{1} - w_{2}$
$= 240 - 96$
$= 144$ .

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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.
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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?

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.

Four of the following five are alike in a certain way and thus form a group. Which is the one that does not belong to that group?

Study the following information to answer the given questions:
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.
S sits third to the right of Q. Either S or Q sits at an extreme end of the line. The one who faces Q sits second to the right of E. Two people sit between B and F. Neither B nor F sits at an extreme end of the line. The immediate neighbour of B faces the person who sits third to the left of P. R and T are immediate neighbours of each other. C sits second to the left of A. T does not face the immediate neighbour of D.
How many persons are seated between V and R ?

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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

The correct option is A 200A, B, C, D, E, FConsider AB as group so we have AB, C, D, E, F.We have totally 5No. of ways(w1)=5!×2=240Let CD are adjacent now AB, CD, E, FNo. of ways(w2)=4!2!2!=96Total no. of waysW=w1−w2=240−96=144.

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

The correct option is A $200$
A, B, C, D, E, F
Consider AB as group so we have AB, C, D, E, F.
We have totally $5$
No. of ways $(w_{1}) = 5! \times 2$
$= 240$
Let CD are adjacent now AB, CD, E, F
No. of ways $(w_{2}) = 4! 2! 2!$
$= 96$
Total no. of ways
$W = w_{1} - w_{2}$
$= 240 - 96$
$= 144$ .