In how many different ways can five people be seated on a five-seat be

Question

In how many different ways can five people be seated on a five-seat bench if two of them must sit next to each other?

A. 24
B. 48
C. 120
D. 240
E. 480

kuksbug · Answer

5 people can sit in 5! ways.
 If 2 of them must sit next to each other, they can sit in 4! ways.
 Now, these 2 persons who sit next to each other , can sit in 2! ways.
 Therefore, total different ways in which 5 people can sit are 2! x 4! = 48.

Correct answer is B.

nishi999 · Answer

Lets consider a and b sit together. Hence we have AB, C, D, E. They can sit in 4! ways.

Now A and B in between themselves can sit in 2 ways.

Hence 4!*2 = 48 ways

Divyadisha · Answer

Suppose of two seated together as one. Hence, total of 4 can sit as 4! and two can sit as 2!

Total ways that these five can be seated with given condition= 4!*2!= 48

B is the answer

mohshu · Answer

Consider the two of them as one unit, 
hence total number of ways they can be seated = 4!
but the two of them can be seated in 2! ways 
total ways = 2! * 4! = 48
option B

rhine29388 · Answer

consider the seating arrangement as follows
_|_ _ _ _
wherein the first pair of seats on the bench represents 2 persons sitting together they can arrange amongst themselves in 2! ways
considering the 2 persons sitting together as 1 group basically we have 4 places to be filled which can be done in 4 ! ways
total no. of ways such that can five people be seated on a five-seat bench if two of them must sit next to each other = 2! * 4! = 48
correct answer - B

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In how many different ways can five people be seated on a five-seat be

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In how many different ways can five people be seated on a five-seat be

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