The question is how many ways can 3 boys and 3 girls sit in arow if only the boy

Question

The question is how many ways can 3 boys and 3 girls sit in arow if only the boys must sit together? (7 c)
In the answer it shows an illustration where the boys have 4options because they sit in between the girls. This confused mebecause don't the boys have to all sit together? Doesn't that meannext to each other? The question is how many ways can 3 boys and 3 girls sit in arow if only the boys must sit together? (7 c)
In the answer it shows an illustration where the boys have 4options because they sit in between the girls. This confused mebecause don't the boys have to all sit together? Doesn't that meannext to each other?

Explanation / Answer

The Answer is 3!3!4 which means that like you said, boys have 4options to sit together. at the same time girls in those positionscan be arranged into 3! different ways. As a group, boys can bearranged in 3! different ways. So even if the boys are together,they can still be arranged into different positions within thatgroup (it is seating chart remember).

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