Homework Help: finite math

Posted by yvonne on Tuesday, January 22, 2013 at 12:11am.

A tray contains 14 chocolate chip cookies and 16 oatmeal raisin cookies. How many ways can a child select 4 cookies that include at least 1 chocolate chip cookie?

finite math - Reiny, Tuesday, January 22, 2013 at 8:25am
Chocolate cookie -- C
Oatmeal cookie ----O

If the chocolate cookies are the same and the oatmeal cookies are the same ...
there are only the following selections
COOO
CCOO
CCCO
CCCC

If the cookies are different:
1C,3O --- C(14,1)xC(16,3) = 7840
2C,2O --- C(14,2)xC(16,2) = 10920
3C,1O --- C(13,3)xC(16,1) = 4576
4C ------C(13,4)xC(16,0) = 715
for a total of 24051

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