SOLUTION: Sixteen problems are written on cards one per card.They are three categories Of problems :True-False(6Problems),Multiple Choice (7problems) & Word Problem (3problems).Two cards a

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Question 619426: Sixteen problems are written on cards one per card.They are three categories
Of problems :True-False(6Problems),Multiple Choice (7problems) & Word Problem
(3problems).Two cards are selected at random.Find the probability that the two problems are in
Different categories..
I did this but dont get the right answer C(6,2) x C(6,2) x C(4,2) / C (16,2)
What am I doing.wrong?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
Sixteen problems are written on cards: 6 True-False,7 Multiple Choice & 3 Word Problem
Two cards are selected at random.
Find the probability that the two problems are in Different categories..
P (1 of each type) = 6C1*10C1/16C2