How many different ways are there to arrange a group of 3 adults and 4 children in 7 seats if adults must have the first, third, and 7 seats? A. 12 B. 144 C. 288 D. 1,400 E. 5,040 The OA is B. Can any expert give me a detailed explanation of how can I solve this PS question? Thanks.

Hello M7MBA. We have to arrange 3 adults and 4 children in 7 seats in the following form: A C A C C C A. For the first place, we have 3 options. For the second place, we have 4 options. For the third place, we have 2 options. For the fourth place, we have 3 options. For the fifth place, we have 2 options. For the sixth place, we have 1 option. For the seventh place, we have 1 option. So, the total of options to arrange the 7 people is equal to 3*4*2*3*2*1*1 = 144. So, the correct answer is B. I hope this explanation may help you. Feel free to ask me again if you have a doubt. Regards.

M7MBA wrote:How many different ways are there to arrange a group of 3 adults and 4 children in 7 seats if adults must have the first, third, and 7 seats? A. 12 B. 144 C. 288 D. 1,400 E. 5,040 The OA is B. Can any expert give me a detailed explanation of how can I solve this PS question? Thanks. three adults can be placed in three seats in 3! ways = 3*2*!=6 four children can be placed in four seats in 4! ways =4*3*2*1=24 Hence total number of ways = 6*24= 144 So B is the correct option.

M7MBA wrote:How many different ways are there to arrange a group of 3 adults and 4 children in 7 seats if adults must have the first, third, and 7 seats? A. 12 B. 144 C. 288 D. 1,400 E. 5,040 The OA is B. Can any expert give me a detailed explanation of how can I solve this PS question? Thanks. The 3 adults can be arranged in 3! = 6, and the 4 children can be arranged in 4! = 24 ways, so the total number of arrangements is 6 x 24 = 144. Answer: B

How many different ways are there to arrange . . . - The Beat The GMAT Forum

GMATLiveTeachStarts Nov 22

LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Josh Braslow, 20+ years in test prep

Nov 22 · Josh Braslow: Sun · 9:30 AM to 12:30 PM ET
Included: 40 hours of live online classes + 6 months of TTP OnDemand

Attend the first class for free
Every class is recorded, so you never fall behind

View classes & enroll

Limited seats available

EALiveTeachOnDemandStart anytime

EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

EXECUTIVE ASSESSMENT

with

165+ EA score guarantee

$05-day trial no automatic billing

Schedule
Included: 40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.

165+ EA Score Guarantee
4,100+ Quant, Verbal, and Integrated Reasoning practice questions
400+ hours of in-depth video lessons
3,000+ step-by-step video solutions

View EA class & enroll Start free 5-day trial

Limited cohort · enrollment openTrial includes full course access

GMATOnDemandStart anytime

SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee

$0to start then $127/mo

Personalized study plan and analytics
Thousands of lessons and practice questions

Start free 5-day trial

Read 563 reviews

Choose how you want to prepare

Get Ready for GMAT Test Day Faster with Live Online Classes

Target Test Prep EA OnDemand

Target Test Prep GMAT OnDemand

How many different ways are there to arrange . . .

GMAT/MBA Expert

Chicago Booth

GMAT Course Reviews

Admissions Consulting Reviews

FREE GMAT PREP RESOURCES

GMAT PREP DEAL TRACKER