Interested to Buy Any Domain ? << Click Here >> for more details...
Eleven boys and girls wait to take their seats in the same
row in a movie theater. There are exactly 11 seats in the row.
They decided that after the first person sits down, the next
person has to sit next to the first. The third sits next to
one of the first two and so on until all eleven are seated.
In other words, no person can take a seat that separates
him/her from at least one other person.
How many different ways can this be accomplished? Note that
the first person can choose any of the 11 seats.
- 9 Answers
- 14686 Views
- I also Faced
- E-Mail Answers
Answers were Sorted based on User's Feedback
Answer / guest
There are 1024 different ways.
This is the type of Brain Teaser that can be solved using
the method of induction.
If there is just a one person and one seat, that person has
only one option.
If there are two persons and two seats, it can be
accomplished in 2 different ways.
If there are three persons and three seats, it can be
accomplished in 4 different ways. Remember that no person
can take a seat that separates him/her from at least one
other person.
Similarly, four persons and four seats produce 8 different
ways. And five persons with five seats produce 16 different
ways.
It can be seen that with each additional person and seat,
the different ways increase by the power of two. For six
persons with six seats, there are 32 different ways.
For any number N, the different possible ways are 2(N-1)
Thus, for 11 persons and 11 seats, total different ways are
210 i.e. 1024
| Is This Answer Correct ? | 3 Yes | 2 No |
Answer / nikitha
for starting with one person there will be 4 ways n for 11
persons it will be 44 ways
| Is This Answer Correct ? | 0 Yes | 0 No |
Answer / lopamudra
answer will be 1
bcs there are same no. of guys n seats....and no can be
separate from the other person next to him/her
| Is This Answer Correct ? | 0 Yes | 0 No |
Answer / puchi mukhujje (:-p)
i think you're trying to say that each person is previously numbered from 1 to 11.
the first person can choose his seat between the two corner seats and 11 other seats.if he chooses one of the corner seats which he can do in 2 ways,then because there is only one vacant seat beside him, the 2nd person will have to sit on that seat and so on.
now let us mark the middle seats from 1 to 9.now if he picks the nth seat,you notice,after they're all seated, that on both sides of the 1st person people are seated with their numbers in ascending order.when 1 chooses the nth seat, the no. of ways in which they can be seated becomes 10Cn. 1 can choose any seat from 1 to 9.
so the total no. of ways is 2^10-2+2=2^10 (ans.)
| Is This Answer Correct ? | 0 Yes | 0 No |
Answer / nikitha
I think it can be done only in 2 ways.why bcz if 1st person
takes any other seat other than 1st and last, then the
continuation may be lost.
| Is This Answer Correct ? | 0 Yes | 1 No |
(9^-2)*81*(5/6)
Consider a chessboard with a single Rook. A Rook can move any number of square sideways/forward, but not diagonally. What is the minimum number of moves the Rook needs to make, in order to pass over all the squares on the chessboard and return to the original position?
There are two types of gangs one gang members always say truth others are liers u come accross a&b 1.a says "atleast one of us lier" a&b belongs to which gang??
There is a perfect sphere of diameter 40 cms. resting up against a perfectly straight wall and a perfectly straight floor i.e. the wall and the floor make a perfect right angle. Can a perfect sphere of diameter 7 cms. pass through the space between the big sphere, the wall and the floor? Support your answer with valid arguments. Don't submit just "Yes" or "No".
Once a week a wagon driver leaves his hut and drives his wagon to the river dock to pick up supplies for his town. At 4:05 PM, one-fifth of the way to the dock, he passes the Temple. At 4:15 PM, one-third of the way, he passes the Preetam-Da-Dhabaa. At what time does he reached the dock?
Find the missing number in the series: 14 11 ? 14 6 12 8 plz reply.
7 Answers Bhel, Quick Heal, Silicon House,
if you are running in the race and you overtakes 2nd no player then whats your position?
There are 3 colored boxes - Red, Green and Blue. Each box contains 2 envelopes. Each envelope contains money - two of them contain Rs. 25000 each, two of them contain Rs. 15000 each and remaining two contain Rs. 10000 each. There is one statement written on the cover of each box. * Red Box: Both, a red box and a blue box contain Rs. 10000 each. * Green Box: Both, a green box and a red box contain Rs. 25000 each. * Blue Box: Both, a blue box and a green box contain Rs. 15000 each. Only one of the above 3 statements is true and the corresponding box contains the maximum amount. Can you tell which box contains the maximum amount and how much?
In a locked empty room from inside a man hanged himself to a fan above 10 feet and there is nothing in the room on which he could have stand and hung up but there is some water on the floor can anybody give the answee
2. At a recent painting competition, jonneys rendition of a constable was not last. priya only just managed to avoid last place and came third. the lady who painted a monkey was very successful and took first place. mary beat the lady who painted the temple and the lady who painted the flower beat sachin. can you determine who painted what and who won?
Four couples are going to the movie. Each row holds eight seats. Betty and Jim don't want to sit next to Alice and Tom. Alice and Tom don't want to sit next to Gertrude and Bill. On the otherhand, Sally and Bob don't want to sit next to Betty and Jim. How can the couples arrange themselves in a row so that they all sit where they would like?
one man driving a car in a lonely forest .. it was raining at that moment ...suddenly one of the car tyre got punchured...and he is having stephiny in his car ...he gets it and he tried to fix that stephiny...when he removes the bolts of punchred tire all are gone into mud...all bolts... fell into mud...and that bolts he never get...then, how can he reach safely to home... by driving his car..?
English 
