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 24Get an Extra 30% Off Target Test Prep Plans
08:00 PM EDT
-11:59 PM EDT
Grab 30% off any Target Test Prep GRE plan during our Flash Sale and join Brian and many other students who have used Target Test Prep to score high on the GRE. Just enter the coupon code FLASH30 at checkout to save big.
What is the total number of ways in which Dishu can distribu
[#permalink]
13 Feb 2021, 11:48
13 Feb 2021, 11:48
1
00:00
Question Stats:
100% (04:27) correct
0% (00:00) wrong based on 2 sessions
Hide Show timer Statistics
What is the total number of ways in which Dishu can distribute 9 distinct gifts among his 8 distinct girlfriends such that each of them gets at least one gift?
a)72*8!
b)144×8!
c)36*72*8!
d)12*7!*8
e)72*7!
Posted from my mobile device
a)72*8!
b)144×8!
c)36*72*8!
d)12*7!*8
e)72*7!
Posted from my mobile device
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: What is the total number of ways in which Dishu can distribu
[#permalink]
14 Feb 2021, 00:00
14 Feb 2021, 00:00
1
Bookmarks
Mugdho wrote:
What is the total number of ways in which Dishu can distribute 9 distinct gifts among his 8 distinct girlfriends such that each of them gets at least one gift?
a)72*8!
b)144×8!
c)36*72*8!
d)12*7!*8
e)72*7!
Posted from my mobile device
a)72*8!
b)144×8!
c)36*72*8!
d)12*7!*8
e)72*7!
Posted from my mobile device
We have 9 gifts and 8 girls,
We can give these gifts to 8 different girls in 9! ways = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2
Since, 1 girl gets 2 gifts, We can select that girl as = \(^8C_1\) = 8
So, 8 x 9! = 8 x 9 x 8! = 72 x 8!
Hence, option A
What is the total number of ways in which Dishu can distribu
[#permalink]
14 Feb 2021, 00:38
14 Feb 2021, 00:38
KarunMendiratta wrote:
Mugdho wrote:
What is the total number of ways in which Dishu can distribute 9 distinct gifts among his 8 distinct girlfriends such that each of them gets at least one gift?
a)72*8!
b)144×8!
c)36*72*8!
d)12*7!*8
e)72*7!
Posted from my mobile device
a)72*8!
b)144×8!
c)36*72*8!
d)12*7!*8
e)72*7!
Posted from my mobile device
We have 9 gifts and 8 girls,
We can give these gifts to 8 different girls in 9! ways = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2
Since, 1 girl gets 2 gifts, We can select that girl as = \(^8C_1\) = 8
So, 8 x 9! = 8 x 9 x 8! = 72 x 8!
Hence, option A
KarunMendiratta
What's wrong with the below Solution?
One among 8 gfs will get 2 gifts and remaining 7 will get one. So total of 9 gifts will be distributed among 8 gfs. i.e; 11111112
Gf who will get 2 gifts can be find out in 8C1 ways = 8 ways.
Now 2 gifts can be given to selected gf in 9C2 ways. And remaining 7 gifts can be given to remaining 7 gf in 7! ways.
So total no of ways= 8 × 9C2 × 7!
= 8×(9×8)2×7!
= 36 × 8 × 7!
= 36 × 8!
