Question

Please Help
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?

Answer 1

Can someone help me please?

Answer 2

at least one means one or two or three or four

Answer 3

Try using a binomial distribution.

Answer 4

total - no chocolate chip cookies

Answer 5

(30C4) - (14C4)

Answer 6

4 cookies
lets say all are chocolate chip
the number of ways to choose 4 out of 14 is written \(\binom{14}{4}\) or sometimes \(_{14}C_4\) or even \(^{16}C_4\) and computed via
\[\binom{14}{4}=\frac{\overbrace{14\times 13\times 12\times 11}^{\text{ 4 terms}}}{4\times 3\times 2}\] cancel first , multiply last since it is a whole number

Answer 7

actually @sourwing method is better, but i think there is a typo there

Answer 8

oh yeah I meant (30C4) - (16C4)
:DD