Discussion
In how many ways can five boys and three girls sit in a row such that all the boys sit together?
Answer: C
Treat the five boys as a single block, giving four units to arrange - the block and the three girls.
\[ 4! = 24 \]
Within the block the boys can be ordered in
\[ 5! = 120 \text{ ways} \]
\[ 24 \times 120 = 2880 \]
The block itself may sit anywhere among the girls, which is what the \( 4! \) counts.
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