An event is attended by 8 guests 5 men and 3 women. 8 chairs are accordingly arranged for the guests and it is decided that the men will be seated on the chairs marked A-E and the women will be seated on the chairs marked F-H. In how many ways can the 8 guests be seated?a)30b)120c)126d)720e)40320Correct answer is option 'D'. Can you explain this answer?

Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity

Open App

GMAT Exam > GMAT Questions > An event is attended by 8 guests – 5 me...

An event is attended by 8 guests – 5 men and 3 women. 8 chairs are accordingly arranged for the guests and it is decided that the men will be seated on the chairs marked A-E and the women will be seated on the chairs marked F-H. In how many ways can the 8 guests be seated?

a)
30
b)
120
c)
126
d)
720
e)
40320

Correct answer is option 'D'. Can you explain this answer?

Join for Free

Join for Free

Verified Answer

An event is attended by 8 guests – 5 men and 3 women. 8 chairs a...

Since order matters in this question (Seats A, B and C occupied with John, Graham and Paul is a different seating arrangement from Seats A, B and C occupied with Graham, Paul and John), we can solve it using either the Filling Spaces method or the Permutation formula.

Step 1: Understand the objective

The objective of the question here is to find the number of ways in which the 8 guests can be seated on 8 seats. Since the seats for men and women are fixed (Seats A-E are the 5 seats reserved for men and Seats F-H are the three seats reserved for women), the objective actually becomes: to find the number of ways in which 5 men can be arranged on 5 seats and 3 women can be arranged on 3 seats.

Step 2: Write the objective equation enlisting all tasks

The objective here consists of two tasks:

Task 1-Arrange 5 men on 5 seats (Seats marked A-E)
Task 2 – Arrange 3 women on 3 seats (Seats marked F-H)

Now that we have enlisted the tasks, we need to determine whether the number of ways of doing these two tasks should be added or multiplied.

Let’s look at the objective statement:

“To find the number of ways in which 5 men can be arranged on 5 seats and 3 women can be arranged on 3 seats.”

The objective statement contains the word AND between the two tasks. This means that we put a multiplication sign in the objective equation.

Thus, the objective equation will be:

Now, we know that

The number of ways in which 5 men can be arranged in 5 seats = ⁵P₅

And

The number of ways in which 3 women can be arranged in 3 seats = ³P₃

So, the objective equation becomes:

(Number of ways of arranging the 8 people on the 8 seats) = 5P₅ x 3P3

Step 3: Determine the number of ways of doing each task

In Step 3, using the Permutation Formula (ⁿP_n = n!), we get that

⁵P₅= 5! = 5*4*3*2*1 = 120

And,

³P₃= 3! = 3*2*1 = 6

Step 4: Calculate the final answer

By putting these valuesin the objective equation, we get:

(Number of ways of arranging the 8 people on the 8 seats) = 120 x 6 = 720

Looking at the answer choices, we see that Option D is correct.

View all questions of this test

View all answers Start learning for free

Explore Courses for GMAT exam

Similar GMAT Doubts

The feedback collection boxes installed at the reception of our hotels do not really serve their real purpose. As these boxes are in plain sight, many customers do not feel comfortable depositing the feedback forms in front of the hotel staff. Moreover, the hotel staff can easily access and destroy the feedback form deposited by a guest who intends to report a negative experience. Accordingly, the hotel should make individual phone calls to guests after they have completed their stay, giving them a fair opportunity to express their real experience of staying at the hotel.Which of the following would it be most important to consider while evaluating the new proposed method of obtaining feedback?

View answer

The feedback collection boxes installed at the reception of our hotels do not really serve their real purpose. As these boxes are in plain sight, many customers do not feel comfortable depositing the feedback forms in front of the hotel staff. Moreover, the hotel staff can easily access and destroy the feedback form deposited by a guest who intends to report a negative experience. Accordingly, the hotel should make individual phone calls to guests after they have completed their stay, giving them a fair opportunity to express their real experience of staying at the hotel.Which of the following would it be most important to consider while evaluating the new proposed method of obtaining feedback?

View answer

Guests at a recent party ate a total of fifteen hamburgers. Each guest who was neither a student nor avegetarian ate exactly one hamburger. No hamburger was eaten by any guest who was a student, avegetarian, or both. If half of the guests were vegetarians, how many guests attended the party?(1) The vegetarians attended the party at a rate of 2 students to every 3 non-students, half the rate fornon-vegetarians.(2) 30% of the guests were vegetarian non-students.

View answer

Stuart paid $60 for purchasing a pair of identical chairs. He decidedto sell the chairs at a price equal to the purchase price plus a markup that is 40 percent of the marked price, set by him. When he could not sell the chairs for one day, he discounted their marked price by 20 percent and quickly sold one chair. Worrying that he had underpriced the chairs, he raised the marked price of the remaining chair by 20 percent and sold it by the end of the day. What was his total profit or loss for the combined transactions?

View answer

1 boy and 6 girls are arranged in a row with 7 chairs marked A-G. How many seating arrangements are possible in which the boy sits on chair marked A?

View answer

Top Courses for GMATView all

GMAT Focus Edition Mock Test Series 2025

Quantitative for GMAT

Crash Course for GMAT

Data Insights for GMAT

100 RCs for GMAT

Top Courses for GMAT

View all

Share with a Friend

Answer this doubt

Question Description
An event is attended by 8 guests – 5 men and 3 women. 8 chairs are accordingly arranged for the guests and it is decided that the men will be seated on the chairs marked A-E and the women will be seated on the chairs marked F-H. In how many ways can the 8 guests be seated?a)30b)120c)126d)720e)40320Correct answer is option 'D'. Can you explain this answer? for GMAT 2025 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about An event is attended by 8 guests – 5 men and 3 women. 8 chairs are accordingly arranged for the guests and it is decided that the men will be seated on the chairs marked A-E and the women will be seated on the chairs marked F-H. In how many ways can the 8 guests be seated?a)30b)120c)126d)720e)40320Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An event is attended by 8 guests – 5 men and 3 women. 8 chairs are accordingly arranged for the guests and it is decided that the men will be seated on the chairs marked A-E and the women will be seated on the chairs marked F-H. In how many ways can the 8 guests be seated?a)30b)120c)126d)720e)40320Correct answer is option 'D'. Can you explain this answer?.

Solutions for An event is attended by 8 guests – 5 men and 3 women. 8 chairs are accordingly arranged for the guests and it is decided that the men will be seated on the chairs marked A-E and the women will be seated on the chairs marked F-H. In how many ways can the 8 guests be seated?a)30b)120c)126d)720e)40320Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT. Download more important topics, notes, lectures and mock test series for GMAT Exam by signing up for free.

Here you can find the meaning of An event is attended by 8 guests – 5 men and 3 women. 8 chairs are accordingly arranged for the guests and it is decided that the men will be seated on the chairs marked A-E and the women will be seated on the chairs marked F-H. In how many ways can the 8 guests be seated?a)30b)120c)126d)720e)40320Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of An event is attended by 8 guests – 5 men and 3 women. 8 chairs are accordingly arranged for the guests and it is decided that the men will be seated on the chairs marked A-E and the women will be seated on the chairs marked F-H. In how many ways can the 8 guests be seated?a)30b)120c)126d)720e)40320Correct answer is option 'D'. Can you explain this answer?, a detailed solution for An event is attended by 8 guests – 5 men and 3 women. 8 chairs are accordingly arranged for the guests and it is decided that the men will be seated on the chairs marked A-E and the women will be seated on the chairs marked F-H. In how many ways can the 8 guests be seated?a)30b)120c)126d)720e)40320Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of An event is attended by 8 guests – 5 men and 3 women. 8 chairs are accordingly arranged for the guests and it is decided that the men will be seated on the chairs marked A-E and the women will be seated on the chairs marked F-H. In how many ways can the 8 guests be seated?a)30b)120c)126d)720e)40320Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice An event is attended by 8 guests – 5 men and 3 women. 8 chairs are accordingly arranged for the guests and it is decided that the men will be seated on the chairs marked A-E and the women will be seated on the chairs marked F-H. In how many ways can the 8 guests be seated?a)30b)120c)126d)720e)40320Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice GMAT tests.

Explore Courses for GMAT exam