• 7 CATs FREE!
    If you earn 100 Forum Points

    Engage in the Beat The GMAT forums to earn
    100 points for $49 worth of Veritas practice GMATs FREE

    Veritas Prep
    VERITAS PRACTICE GMAT EXAMS
    Earn 10 Points Per Post
    Earn 10 Points Per Thanks
    Earn 10 Points Per Upvote
    REDEEM NOW

Talk show host Ralph Burke has exactly one guest on his show

This topic has 2 expert replies and 1 member reply

Talk show host Ralph Burke has exactly one guest on his show

Post

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Difficult



Talk show host Ralph Burke has exactly one guest on his show each day, and Burke’s show airs every.Monday through Friday. Burke always schedules politicians on Mondays and Wednesdays, actors on Tuesdays and athletes on Thursdays, but can have a guest of any one of these three kinds on Friday. No guest appears more than once per week on Burke’s show. If Burke has five politicians, three actors and six athletes he could invite, and if no politician is also an actor or an athlete and no actor is also an athlete, how many different schedules of guests from Monday to Friday could Burke create?

A) 30
B) 1,200
C) 3,600
D) 4,500

E) 6,300

OA C

Source: Princeton Review

  • +1 Upvote Post
  • Quote
  • Flag
Post
BTGmoderatorDC wrote:
Talk show host Ralph Burke has exactly one guest on his show each day, and Burke’s show airs every Monday through Friday. Burke always schedules politicians on Mondays and Wednesdays, actors on Tuesdays and athletes on Thursdays, but can have a guest of any one of these three kinds on Friday. No guest appears more than once per week on Burke’s show. If Burke has five politicians, three actors and six athletes he could invite, and if no politician is also an actor or an athlete and no actor is also an athlete, how many different schedules of guests from Monday to Friday could Burke create?

A) 30
B) 1,200
C) 3,600
D) 4,500
E) 6,300

OA C

Source: Princeton Review
We have 5 politicians, 3 actors, and 6 athletes

The guest order would be as following:

Monday: Politicians => Any of the 5 politicians can be invited => Number of ways = 5;

Tuesday: Actors => Any of the 3 actors can be invited => Number of ways = 3;

Wednesday: Politicians => Any of the 4 remaining politicians can be invited => Number of ways = 4; (It is given that a guest cannot be repeated)

Thursday: Athletes => Any of the 6 athletes can be invited => Number of ways = 6;

Friday: Any guest => Any of the remaining 10 guests can be invited => Number of ways = 10; (There are a total of 5 + 3 + 6 = 14 probables and 4 of them are already invited, so the remaining probables = 14 - 4 = 10)

Total number of ways = 5*3*4*6*10 = 3600 ways

The correct answer: C

Hope this helps!

-Jay
_________________
Manhattan Review GMAT Prep

Locations: New York | Vienna | Kuala Lumpur | Sydney | and many more...

Schedule your free consultation with an experienced GMAT Prep Advisor! Click here.

  • +1 Upvote Post
  • Quote
  • Flag
Post
five politicians, three actors, and six athletes.
Politicians on two days - 5*4(since no guest appear more than once)
Actors one day - 3
Athlete one day - 6

Therefore - 5*4*3*6 = 360 ways

and for the remaining one day, it could be anyone of the remaining politician or athlete, or an actor.
which is 3+2+5 = 10.

Multiplying 360 * 10 - 3600 ways. Hence C.

  • +1 Upvote Post
  • Quote
  • Flag
Post
BTGmoderatorDC wrote:
Talk show host Ralph Burke has exactly one guest on his show each day, and Burke’s show airs every.Monday through Friday. Burke always schedules politicians on Mondays and Wednesdays, actors on Tuesdays and athletes on Thursdays, but can have a guest of any one of these three kinds on Friday. No guest appears more than once per week on Burke’s show. If Burke has five politicians, three actors and six athletes he could invite, and if no politician is also an actor or an athlete and no actor is also an athlete, how many different schedules of guests from Monday to Friday could Burke create?

A) 30
B) 1,200
C) 3,600
D) 4,500

E) 6,300
On Monday there are 5 options (politicians), Tuesday 3 options (actors), Wednesday 4 options (politicians, but only 4 of them), Thursday 6 options (athletes), and Friday 10 options (since he can select from 3 politicians, 2 actors, and 5 athletes).

Thus, the total number of guest schedules for the week is 5 x 3 x 4 x 6 x 10 = 3,600.

Answer: C

_________________
Scott Woodbury-Stewart Founder and CEO

  • +1 Upvote Post
  • Quote
  • Flag
  • Economist Test Prep
    Free Trial & Practice Exam
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    Economist Test Prep
  • Magoosh
    Magoosh
    Study with Magoosh GMAT prep

    Available with Beat the GMAT members only code

    MORE DETAILS
    Magoosh
  • PrepScholar GMAT
    5 Day FREE Trial
    Study Smarter, Not Harder

    Available with Beat the GMAT members only code

    MORE DETAILS
    PrepScholar GMAT
  • Kaplan Test Prep
    Free Practice Test & Review
    How would you score if you took the GMAT

    Available with Beat the GMAT members only code

    MORE DETAILS
    Kaplan Test Prep
  • e-gmat Exclusive Offer
    Get 300+ Practice Questions
    25 Video lessons and 6 Webinars for FREE

    Available with Beat the GMAT members only code

    MORE DETAILS
    e-gmat Exclusive Offer
  • EMPOWERgmat Slider
    1 Hour Free
    BEAT THE GMAT EXCLUSIVE

    Available with Beat the GMAT members only code

    MORE DETAILS
    EMPOWERgmat Slider
  • The Princeton Review
    FREE GMAT Exam
    Know how you'd score today for $0

    Available with Beat the GMAT members only code

    MORE DETAILS
    The Princeton Review
  • Target Test Prep
    5-Day Free Trial
    5-day free, full-access trial TTP Quant

    Available with Beat the GMAT members only code

    MORE DETAILS
    Target Test Prep
  • Varsity Tutors
    Award-winning private GMAT tutoring
    Register now and save up to $200

    Available with Beat the GMAT members only code

    MORE DETAILS
    Varsity Tutors
  • Veritas Prep
    Free Veritas GMAT Class
    Experience Lesson 1 Live Free

    Available with Beat the GMAT members only code

    MORE DETAILS
    Veritas Prep

Top First Responders*

1 fskilnik@GMATH 74 first replies
2 Brent@GMATPrepNow 48 first replies
3 Jay@ManhattanReview 44 first replies
4 GMATGuruNY 39 first replies
5 Rich.C@EMPOWERgma... 33 first replies
* Only counts replies to topics started in last 30 days
See More Top Beat The GMAT Members

Most Active Experts

1 image description fskilnik@GMATH

GMATH Teacher

205 posts
2 image description Scott@TargetTestPrep

Target Test Prep

192 posts
3 image description Brent@GMATPrepNow

GMAT Prep Now Teacher

129 posts
4 image description Max@Math Revolution

Math Revolution

91 posts
5 image description GMATGuruNY

The Princeton Review Teacher

87 posts
See More Top Beat The GMAT Experts