Before leaving for his business trip, Chad asks his assistant to choose and pack three shirts from his closet, which currently contains seven shirts. If each shirt is a different color, including one blue shirt and one pink shirt, and the assistant chooses the shirts at random, what is the probability that the pink shirt will be one of the shirts packed but the blue shirt will not?  Choose the correct answer.
A) 1/3	B) 1/5	C) 10/35	D) 6/28	E) 5/21
The total number of ways to choose 3 shirts from 7 is 710/353 = 35   The number of ways to choose a pink shirt plus 2 shirts from 5 is 510/352 = 10   P(a pink shirt but not a blue shirt) = 10/35 = 2/7   The answer is 10/35.
<result>C</result>
Before leaving for his business trip, Chad asks his assistant to choose and pack three shirts from his closet, which currently contains seven shirts. If each shirt is a different color, including one blue shirt and one pink shirt, and the assistant chooses the shirts at random, what is the probability that the pink shirt will be one of the shirts packed but the blue shirt will not?