1. Since there are at least 6 cookies of each type in the jar, we always have the possibility of choosing one of any of the four types.
There are four types of cookies and we are choosing six cookies so n = 4 and r = 6.
The number of choices is | ( |
6 + 4 - 1 | ) | = |
( |
9 | ) | = |
9 · 8 · 7 · 6! | = |
84. |
6 | 6 | 6! · 3 · 2 · 1 |