## A woman has seven cookies - four chocolate chip and three oatmeal. She gives one cookie to each of her six children

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### A woman has seven cookies - four chocolate chip and three oatmeal. She gives one cookie to each of her six children

by BTGmoderatorDC » Sat Jul 02, 2022 8:53 pm

00:00

A

B

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D

E

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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

OA D

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### Re: A woman has seven cookies - four chocolate chip and three oatmeal. She gives one cookie to each of her six children

by regor60 » Sun Jul 10, 2022 6:39 am
Distributing 6 cookies can be done in the following ways:
3 chocolate, 3 oatmeal
4 chocolate, 2 oatmeal

Pairing Deborah and Kim (D and K) together, let's examine each way above:

D&K can each have a chocolate cookie, in which case there are 4 choices of children for the remaining chocolate cookie. The remaining children get oatmeal.
4 ways