Four girls and four boys went out for a movie last night. They reserved seats so
ID: 3304820 • Letter: F
Question
Four girls and four boys went out for a movie last night. They reserved seats so they were all next to each other and in same row. Solve the number of possible ways that four boys and four girls can alternate seats so that no one is sitting next to a person with the same gender. Four girls and four boys went out for a movie last night. They reserved seats so they were all next to each other and in same row. Solve the number of possible ways that four boys and four girls can alternate seats so that no one is sitting next to a person with the same gender.Explanation / Answer
Here, we have the case of permutations with repetation. Since, we have 4 girls and 4 boys, we can have 4!4! ways of arranging them. However, we would have to divide that by 4 because we have the case of repetation. Hence, the correct answer would be 4!4!/4=576/4=144.
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