We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
360
1
avatar+182 

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?

 Apr 21, 2018

Best Answer 

 #1
avatar+985 
+2

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.

 Apr 21, 2018
 #1
avatar+985 
+2
Best Answer

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.

GYanggg Apr 21, 2018

10 Online Users

avatar
avatar
avatar