+173 A class has four girls and five boys. How many ways can everyone be arranged in a row, so that all four girls are next to each other?
+983 Since all four girls are next to each other, we can treat them like one person.
So it is basically a six person permutation.
\(6!=720\)
There are 720 ways to arrange the boys and girls, but we can also change the order the 4 girls sit in.
\(4!=24\)
In total, there are \(24\cdot720=17280.\) ways to arrange everyone in a row.
I hope this helped,
Gavin.
+983 Since all four girls are next to each other, we can treat them like one person.
So it is basically a six person permutation.
\(6!=720\)
There are 720 ways to arrange the boys and girls, but we can also change the order the 4 girls sit in.
\(4!=24\)
In total, there are \(24\cdot720=17280.\) ways to arrange everyone in a row.
I hope this helped,
Gavin.
