GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 10 Dec 2018, 18:34

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Free lesson on number properties

December 10, 2018

December 10, 2018

10:00 PM PST

11:00 PM PST

Practice the one most important Quant section - Integer properties, and rapidly improve your skills.
• ### Free GMAT Prep Hour

December 11, 2018

December 11, 2018

09:00 PM EST

10:00 PM EST

Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.

# A ride at Disneyland can hold 2 people in the front seat and 3 in the

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51072
A ride at Disneyland can hold 2 people in the front seat and 3 in the  [#permalink]

### Show Tags

03 Jul 2018, 00:50
00:00

Difficulty:

25% (medium)

Question Stats:

79% (02:15) correct 21% (01:53) wrong based on 25 sessions

### HideShow timer Statistics

A ride at Disneyland can hold 2 people in the front seat and 3 in the back seat. A group of 8 friends wish to go on the ride, but since the ride can only hold 5 people at a time, 5 of the friends will go first while the other 3 will wait for the next car. Alice and Stephen will both go in the first group: Alice must sit in the front left seat and Stephen must sit in the back middle seat. In how many ways can the group of 8 friends fill the 5 spots if Alice and Stephen are present in each arrangement?

A. 30

B. 56

C. 90

D. 120

E. 336

_________________
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2710
Location: India
GMAT: INSIGHT
WE: Education (Education)
Re: A ride at Disneyland can hold 2 people in the front seat and 3 in the  [#permalink]

### Show Tags

03 Jul 2018, 05:43
1
Bunuel wrote:
A ride at Disneyland can hold 2 people in the front seat and 3 in the back seat. A group of 8 friends wish to go on the ride, but since the ride can only hold 5 people at a time, 5 of the friends will go first while the other 3 will wait for the next car. Alice and Stephen will both go in the first group: Alice must sit in the front left seat and Stephen must sit in the back middle seat. In how many ways can the group of 8 friends fill the 5 spots if Alice and Stephen are present in each arrangement?

A. 30

B. 56

C. 90

D. 120

E. 336

2 of 8 friends are already decided to go in first ride and their positions also are already fixed so we only need 3 more individuals out of remaining 6 for the first ride

3 out of 6 for teh first ride can be selected in 6C3 = 20 ways
Those selected 3 in first ride can be seated in 3! ways

i.e. first ride may be taken in 6C3*3! = 30*6 = 120 ways

Bunuel: the language of the question seems misleading because it asks at the end "i each arrangement" so it might mean that Alice and Stephen are going in second ride as well. Please check and see If I am making sense.
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

Re: A ride at Disneyland can hold 2 people in the front seat and 3 in the &nbs [#permalink] 03 Jul 2018, 05:43
Display posts from previous: Sort by