SOLUTION: I have 15 towels, 6 are white, 5 are brown, and 4 are black. 1.How many different 3 towel arrangements can I get, colors dont matter. 2. How many different 3 towel arrangement

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Question 870467: I have 15 towels, 6 are white, 5 are brown, and 4 are black.
1.How many different 3 towel arrangements can I get, colors dont matter.
2. How many different 3 towel arrangement can I get if each towel much be different color.
3. What is the probability in a random arrangement of 3 towels, all 3 towels will be different color.
4. How many ways are there to pick a group of 5 towels
5. What is probability that the 5 towel group from #4 consists of 3 black and 2 brown towels
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
15 towels: 6W, 5B, 4BL
1. 15C3 = 15%2A14%2A13%2F%283%2A2%29 = 455
2. %286C1%29%285C1%29%284C1%29+=+6%2A5%2A4 = 120
3. 120/455 = 24/91
4. 15C5 = 3003
5. %28%284C3%29%285C2%29%29%2F3003