There are 2 white plates, 6 green plates, 8 red plates, 4 pink plates, and 10 purple plates in the cabinet. What is the least number of plates that you have to pull out to make sure that you will have a matching pair? (Assume that all the plates are identical except for the color)  Choose the correct answer.
A) 2 B) 4 C) 12 D) 7 E) 6

Rationale: since there are 5 colors , if you take 5 plates , you could still have 1 plate per color and not have a match . therefore , upon taking the 6 th plate , you will definitely have a match since the 6 th plate will form at least a pair with the 1 st 5 so 5 + 1 = 6 answer is e
Answer: E