GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Apr 25Crafting an Impactful Resume: Balancing Detail with Brevity
10:00 AM EDT
-10:30 AM EDT
Showcase your achievements through impactful storytelling! Get ready for an LIVE session on April 25, Learn how to craft compelling narratives on your resume that resonate with admission committees.
Apr 26Get a Top GRE Score with Target Test Prep
12:00 PM EDT
-01:00 PM EDT
The Target Test Prep course represents a quantum leap forward in GRE preparation, a radical reinterpretation of the way that students should study. In fact, more and more Target Test Prep students are scoring 329 and above on the GRE.
Talk show host Ralph Burke has exactly one guest on his sho
[#permalink]
05 Jun 2017, 02:28
05 Jun 2017, 02:28
2
Expert Reply
4
Bookmarks
00:00
Question Stats:
73% (02:33) correct
26% (02:43) wrong based on 150 sessions
Hide Show timer Statistics
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
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Talk show host Ralph Burke has exactly one guest on his sho
[#permalink]
06 Jun 2017, 15:54
06 Jun 2017, 15:54
5
1
Bookmarks
Carcass 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 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
Take the task of creating the schedules and break it into stages.
Stage 1: Select Monday's guest
This must be a politician.
There are 5 politicians to choose from, so we can complete stage 1 in 5 ways
Stage 2: Select Tuesday's guest
This must be an actor.
There are 3 actors to choose from, so we can complete stage 2 in 3 ways
Stage 3: Select Wednesday's guest
This must be a politician.
Since we already selected a politician during state one, there are now 4 politicians remaining to choose from.
So we can complete stage 3 in 4 ways
Stage 4: Select Thursday's guest
This must be an athlete.
There are 6 athletes to choose from, so we can complete stage 4 in 6 ways
Stage 5: Select Friday's guest
There WERE 14 guests to begin with (5 + 3 + 6 = 14).
However, in the first 4 stages, we have scheduled 4 of those guests.
So, there are now 10 guests remaining to choose from
So we can complete stage 5 in 10 ways
By the Fundamental Counting Principle (FCP), we can complete all 5 stages (and thus schedule all 5 days) in (5)(3)(4)(6)(10) ways (= 3600 ways)
Answer:
Show: ::
C
Note: the FCP can be used to solve the MAJORITY of counting questions on the GRE. So, be sure to learn it.
RELATED VIDEOS
General Discussion
Target Test Prep Representative
Joined: 09 May 2016
Status:Head GRE Instructor
Affiliations: Target Test Prep
Posts: 180
Given Kudos: 114
Location: United States
Re: Talk show host Ralph Burke has exactly one guest on his sho
[#permalink]
09 May 2018, 15:02
09 May 2018, 15:02
1
Expert Reply
Carcass 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, Tuesday 3 options, Wednesday 4 options, Thursday 6 options, and Friday 10 options (since he can select from 3 politicians, 2 actors, and 5 athletes).
So the total number of options for the week is 5 x 3 x 4 x 6 x 10 = 3,600.
Answer: C
