There are \(5\) boys and \(3\) girls seated in a row for a photograph. The number of ways in which a photograph can be taken if the girls occupy only odd places is...
Show Hint
There are 4 odd positions among 8 seats. Place girls first, then boys.
Step 1: Use the other order
Choose which odd place stays free of a girl: $4$ ways. Arrange the $3$ girls in the other three odd places: $3!=6$ ways.
Arrange the $5$ boys in the remaining $5$ seats: $120$ ways.
\[ 4\times6\times120=2880 \]
Final Answer:
$2880$, option (B).
\[ \boxed{\text{(B)}} \]