[phpBB Debug] PHP Notice: in file /viewtopic.php on line 1525: Undefined array key "topic_tags_visibility"
[phpBB Debug] PHP Notice: in file /viewtopic.php on line 1526: Undefined array key "timer_statistics_visibility"
In how many different ways can a coach select a team of 3 players out : Numeric Entry Question

Last visit was: 23 Jul 2024, 22:56 It is currently 23 Jul 2024, 22:56

Close

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

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 GRE 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.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 29156
Own Kudos [?]: 34205 [0]
Given Kudos: 25542
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 29156
Own Kudos [?]: 34205 [1]
Given Kudos: 25542
Send PM
avatar
Intern
Intern
Joined: 10 Sep 2023
Posts: 11
Own Kudos [?]: 5 [0]
Given Kudos: 0
Send PM
Intern
Intern
Joined: 11 Sep 2023
Posts: 43
Own Kudos [?]: 23 [0]
Given Kudos: 5
GRE 1: Q155 V141
Send PM
Re: In how many different ways can a coach select a team of 3 players out [#permalink]
I think answer should be 72.

9C1*8C1*1
Intern
Intern
Joined: 11 Sep 2023
Posts: 43
Own Kudos [?]: 23 [1]
Given Kudos: 5
GRE 1: Q155 V141
Send PM
In how many different ways can a coach select a team of 3 players out [#permalink]
1
mrunal2148 wrote:
I think answer should be 72.

9C1*8C1*1


Above scenario holds true when order matters. But in given case, order of players doesn't matter. hence the answer is 36.

9C2*1 = 36
GRE Instructor
Joined: 24 Dec 2018
Posts: 1036
Own Kudos [?]: 1379 [1]
Given Kudos: 24
Send PM
In how many different ways can a coach select a team of 3 players out [#permalink]
1
Since a team should consist of John, we only have to find out the ways in which we can select the remaining players out of \(9\), since John, who is one among the \(10\) is already selected.

And since the order does not matter, it is

\(2C9 = \dfrac{9!}{2!(9-2)!} = \dfrac{9 \times 8 \times 7!}{2! \times 7!} = \dfrac{9 \times 8}{2} = 36\)

There are \(36\) ways of selecting a team of \(3\) players out of \(10\) players so that John, who is one among the \(10\) players, is selected in the team.
Prep Club for GRE Bot
In how many different ways can a coach select a team of 3 players out [#permalink]
Moderators:
GRE Instructor
55 posts
GRE Forum Moderator
29 posts
Moderator
1093 posts
GRE Instructor
218 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne