(c) Suppose there are balls of 6 different colors, i.e., Red, Blue, Green, Yellow, Black, and Brown, in a box, where there are exactly 17 indistinguishable balls of the same color. How many minimum...

Extracted text: (c) Suppose there are balls of 6 different colors, i.e., Red, Blue, Green, Yellow, Black, and Brown, in a box, where there are exactly 17 indistinguishable balls of the same color. How many minimum numbers of balls must be drawn by you from the box (that contains all the balls of different colors) to be sure that you have at least 8 balls of the same color. Show your work and calculation with relevant explanation in detail.