Bissoy.com
Doctors Medicines MCQs Q&A

Five girls – A, B, C, D and E sit in an office in two rows. One row has three chairs and the other row has two chairs. D and E does not sit in one row. A and B does not sit in one row. In how many ways can the five girls be seated?

Five girls – A, B, C, D and E sit in an office in two rows. One row has three chairs and the other row has two chairs. D and E does not sit in one row. A and B does not sit in one row. In how many ways can the five girls be seated? Correct Answer 48

Given:

Five girls – A, B, C, D and E sit in an office in two rows

One row has three chairs and the other row has two chairs

D and E does not sit in one row

A and B does not sit in one row

Concept:

To find the total number of ways of arranging, first the selection has to be done. Then, number of ways of arranging has to be found out.

Calculation:

In the row having two chairs, one among D and E has to be selected. Also, one among A and B has to be selected.

They can be seated in 2! Ways

In the row with three chairs, remaining 3 girls will be seated in 3! = 6 ways

∴ Total number of ways of arranging the five girls = 2 × 2 × 2 × 6 = 48

Hint

Basically, the arrangement can be made in two rows.

In the first row, either 2 or three persons can be seated and vice-versa for the second row.

Hence, in the first row, with D, we can either have one among A, B, or C, or two of them. 

This way, the process continues, and we arrive at 2 × 2 × 2 × 2 × 3 = 48

 

Related Questions

Five people A, B, C, D and E are seated about a round table, Every chair is spaced equidistant from adjacent chairs. 1. C is seated next to A 2. A is seated two seats from D 3. B is not seated next to A On the basis of above information, which of the following must be true? 1. D is seated next to B 2. E is seated next to A 3. D and C are separated by two seats Select the correct answer using the code given below:
Five people A, B, C, D, and E are seated about a round table. Every chair is spaced equidistant from adjacent chairs. C is seated next to A; A is seated two seats from D; and B is not seated next to A. Which of the following must be true?  (I) D is seated next to B (II) E is seated next to A
Five people A, B, C, D and E are seated around a round table. Every chair is spaced equidistant from adjacent chairs. (i) C is seated next to A. (ii) A is seated two seats from D. (iii) B is not seated next to A. Which of the following must be true? (I) D is seated next to B. (II) E is seated next to A. Select the correct answer from the codes given below:
During a meeting, seven managers of a company are seated around a circular table. It is known that: T is not the finance manager and is seated to the left of S, a production manager. R is seated between Q and S and he is a quality control manager. The finance manager is seated to the right of Q. V is seated to the right of the finance manager. U an operations manager is seated between V and T. The managers are identified as P, Q, R, S, T, U and V. The finance manager is seated how far from the operations manager?
There are two benches A and B and one chair. Three persons can sit on each of these benches and one on the chair. Seven persons, Aman, Bhaskar, Chetan, Dablu, Ekta, Fauzia, and Ganesh, are to be seated on these benches and the chair following certain constraints as given. (i) Fauzia does not sit on the same bench as Dablu. (ii) Ekta does not sit on the same bench as Dablu. (iii) Chetan can sit with Aman but not with Ganesh. (iv) Aman can sit with Dablu but not with Bhaskar or Ganesh. (v) Ganesh does not sit on the same bench as Fauzia. If Fauzia sits on Bench A and Chetan sits on Bench B, then who is sitting in the chair?
Study the given information carefully and answer the question that follows. In a boat, people are sitting in two parallel rows, with five people each in a row, in such a way that there is equal distance between adjacent persons. In the first row, Mani, Nani, Alex, Puri and Tuli are seated (not necessarily in the same order) and all of them are facing south. In the second row, Sharma, Atkin, Putin, Neha and Priya are seated (not necessarily in the same order) and all of them are facing north. Therefore, people in the opposite rows face each other in this arrangement. Priya sits third to the right of Atkin. Atkin sits at one of the extreme ends. Sharma sits second to the left of Priya. The person facing Sharma sits to the immediate right of Nani. Puri sits second to left of Nani. Mani is not an immediate neighbour of Nani. Only two people sit between Mani and Alex. Neither Nani nor Mani faces Neha. Who among the following is facing Tuli?
A manufacturing company produces 5 types of chairs in two sizes - Regular" and "Large". The pie charts represent the total number of five types of chairs produced and the table shows the ratio between the number of regular sized and large sized chairs of five types. Type of Chair A B C D E Ration between Number of Regular Size and Large Size Chairs 3 : 2 4 : 5 3 : 1 5 : 3 3 : 8   If the total number of all types of chairs produced is 7200, what is the total number of regular size chairs of all types produced.
When they had a meeting seven company executives __ T, U, V, W, X, Y and Z ___ sit at a rectangular table .Three executives sit along one side of the table , and three sit along the other side, each directly opposite one of the other three. The seventh sits at the head of the table . There is no seat at the foot of the table . Ualways sits in one of te two seats farthest from the head of the table. Y and V always sit next to each other .V never sits next to Z . If Z does not sit at the head of the table, W sits there. If W sits directly opposite T, X must sit next to which of the following excutives?
12 chairs are arranged in a row and are numbered 1 to 12. 4 men have to be seated in these chairs so that the chairs numbered 1 to 8 should be occupied and no two men occupy adjacent chairs. Find the number of ways the task can be done.
Six friends are seated around a circular table. It is known that L is seated between P and N; Q is seated to the right of O; and M is seated between N and O. Find the friend who is seated between L and Q.