A cookie jar contains three chocolate-chip, two peanut-butter, one lemon, one almond, and five raisin cookies.?
In how many ways can you select some cookies, if you must include at least one chocolate-chip cookie?
the answer is 216, but i don't understand why it's 216 and not 215.. because i keep getting 215.
Here's my reasoning:
It's 215 because
3 x 3 x 2 x2 6=216 BUT.. You CANNOT choose ZERO cookies, since you have to choose at least one chocolate chip cookie. Hence, choosing zero is not an option.. Now.. Subtract 1 from 216 = 215.
What's wrong with my reasoning?