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.
A woman has seven cookies
[#permalink]
08 Jun 2019, 05:33
08 Jun 2019, 05:33
00:00
Question Stats:
50% (01:43) correct
50% (00:39) wrong based on 6 sessions
Hide Show timer Statistics
A woman has seven cookies - four chocolate chip and three oatmeal. She gives one cookie to each of her six children: Nicole, Ronit, Kim, Deborah, Mark, and Terrance. If Deborah will only eat the kind of cookie that Kim eats, in how many different ways can the cookies be distributed?
(A) 5040
(B) 50
(C) 25
(D) 15
(E) 12
(A) 5040
(B) 50
(C) 25
(D) 15
(E) 12
Re: A woman has seven cookies
[#permalink]
09 Jun 2019, 11:55
09 Jun 2019, 11:55
Expert Reply
We have to distribute 7 cookies between 6 kids and give 7th leftover cookie for charity, so distribute 7 cookies between 7 entities: Deborah, Kim, 1, 2, 3, 4, 5.
If Deborah and Kim get chocolate cookies then there will be 2 chocolate and 3 oatmeal cookies to distribute between 5: 5!/(2!3!) = 10 (assign 5 cookies out of which 2 chocolate and 3 oatmeal cookies are identical to 5 people);
If Deborah and Kim get oatmeal cookies then there will be 4 chocolate and 1 oatmeal cookie to distribute between 5: 5!/(4!1!) = 5;
10 + 5 = 15.
If Deborah and Kim get chocolate cookies then there will be 2 chocolate and 3 oatmeal cookies to distribute between 5: 5!/(2!3!) = 10 (assign 5 cookies out of which 2 chocolate and 3 oatmeal cookies are identical to 5 people);
If Deborah and Kim get oatmeal cookies then there will be 4 chocolate and 1 oatmeal cookie to distribute between 5: 5!/(4!1!) = 5;
10 + 5 = 15.
Re: A woman has seven cookies
[#permalink]
17 Jun 2019, 12:11
17 Jun 2019, 12:11
Any other explanations please?
Thank you!
Thank you!
