Homework Sourse3 12 pts A box contains 3 red balls 2 blue balls and 4 green
3. (12 pts) A box contains 3 red balls, 2 blue balls, and 4 green balls. Assume that all balls are identi- cal except the color. How many ways are there to arrange all balls in a row so that (i) all red balls are together? (2) two blue balls are NOT next to each other? (3) no two green balls are next to each other? 
Solution
1)(2!×4!)×7, all red balls are together
2) 7, two blue balls are next to each other
3) 4, no two green ball are next to each other
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