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 Your Progress
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
The Competition Continues - Game of Timers is a team-based competition based on solving GMAT questions to win epic prizes! Starting July 1st, compete to win prep materials while studying for GMAT! Registration is Open! Ends July 26th
Sixteen children are trying to decide which two children will win the
[#permalink]
Show Tags
31 Jan 2017, 10:11
1
3
00:00
A
B
C
D
E
Difficulty:
35% (medium)
Question Stats:
64% (01:15) correct 36% (01:15) wrong based on 245 sessions
HideShow timer Statistics
Sixteen children are trying to decide which two children will win the president and vice-president positions in the class. Each child can and will cast a vote for anyone in the class. If each child in the class is eligible for a position, how many different outcomes are there of the election?
Sixteen children are trying to decide which two children will win the
[#permalink]
Show Tags
31 Jan 2017, 12:52
2
Top Contributor
4
Bunuel wrote:
Sixteen children are trying to decide which two children will win the president and vice-president positions in the class. Each child can and will cast a vote for anyone in the class. If each child in the class is eligible for a position, how many different outcomes are there of the election?
A. 15 B. 30 C. 60 D. 120 E. 240
Take the task of selecting a president and vice-president, and break it into stages.
Stage 1: Select someone to be president. There are 16 children to choose from, so we can complete stage 1 in 16 ways
Stage 2: Select someone to be vice-president. Once a child has been selected to be president, that child cannot also be vice-president. So, there are 15 remaining children to choose from, so we can complete stage 2 in 15 ways
By the Fundamental Counting Principle (FCP), we can complete the 2 stages (and thus select a president and vice-president) in (16)(15) ways (240 ways)
Answer: E
Note: the FCP can be used to solve the MAJORITY of counting questions on the GMAT so be sure to learn it.
Re: Sixteen children are trying to decide which two children will win the
[#permalink]
Show Tags
08 Jul 2018, 08:44
Imagine there were just 3 students - A, B, C for the post of President and Vice President. Total no of combinations is AB, BA, AC, CA, BC, CB. i.e 3p2 ways = 6 ways.
Similarly for 16 students, it will be 16p2 = 240 ways
Re: Sixteen children are trying to decide which two children will win the
[#permalink]
Show Tags
09 Jul 2018, 19:55
1
Bunuel wrote:
Sixteen children are trying to decide which two children will win the president and vice-president positions in the class. Each child can and will cast a vote for anyone in the class. If each child in the class is eligible for a position, how many different outcomes are there of the election?
A. 15 B. 30 C. 60 D. 120 E. 240
We use permutations because the order is important. For example, the two outcomes (James President and Charlie Vice-President) and (Charlie President and James Vice-President) are different from each other..The number of possible outcomes is 16P2 = 16!/14! = 16 x 15 = 240.
Re: Sixteen children are trying to decide which two children will win the
[#permalink]
Show Tags
11 Jul 2018, 01:34
Bunuel wrote:
Sixteen children are trying to decide which two children will win the president and vice-president positions in the class. Each child can and will cast a vote for anyone in the class. If each child in the class is eligible for a position, how many different outcomes are there of the election?
A. 15 B. 30 C. 60 D. 120 E. 240
children no selected/not selected 1 yes 2 yes 3 no . . . 16 no
Out of first two children one can be president and the other can be VP or vice-a-versa but they are not same
total arrangement = 16!
remove arranement of 14 children not selcted arrangement of each selected, president = 1! VP = 1!