Question 1042420: Zac has three jackets, one black, on brown and one blue. He has four shirts, one white, one blue, one red and one yellow. He has three pairs of trousers, one brown, one white and one yellow. How many combinations of jacket, shirt and trousers are possible if no two items are of the same colour?
Answer by Edwin McCravy(20060)   (Show Source):
You can put this solution on YOUR website!
The answer is 23.
In the time you could think through all the cases, calculating
the number for each case, and adding them up, you could have
listed them all. Here are all 23 outfits:
1. Black jacket, blue shirt, and brown trousers.
2. Black jacket, blue shirt, and white trousers.
3. Black jacket, blue shirt, and yellow trousers.
4. Black jacket, white shirt, and brown trousers.
5. Black jacket, white shirt, and yellow trousers.
6. Black jacket, red shirt, and brown trousers.
7. Black jacket, red shirt, and white trousers.
8. Black jacket, red shirt, and yellow trousers.
9. Black jacket, yellow shirt, and brown trousers.
10. Black jacket, yellow shirt, and white trousers.
11. Brown jacket, blue shirt, and white trousers.
12. Brown jacket, blue shirt, and yellow trousers.
13. Brown jacket, white shirt, and yellow trousers.
14. Brown jacket, red shirt, and white trousers.
15. Brown jacket, red shirt, and yellow trousers.
16. Brown jacket, yellow shirt, and white trousers.
17. Blue jacket, white shirt, and brown trousers.
18. Blue jacket, white shirt, and yellow trousers.
19. Blue jacket, red shirt, and brown trousers.
20. Blue jacket, red shirt, and white trousers.
21. Blue jacket, red shirt, and yellow trousers.
22. Blue jacket, yellow shirt, and brown trousers.
23. Blue jacket, yellow shirt, and white trousers.
Edwin
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