A party program has four dances, two talk shows, three chorus, dance programs can not appear in a row, how many kinds of order of the program?
Question
A party program has four dances, two talk shows, three chorus, dance programs can not appear in a row, how many kinds of order of the program?
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Solution 1
First, let's consider the dances as a single unit. So, we have 3 units: dances, talk shows, and chorus.
These 3 units can be arranged in 3! = 321 = 6 ways.
Within the dance unit, the 4 dances can be arranged in 4! = 432*1 = 24 ways.
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