+0  
 
0
87
4
avatar

How many ways can you arrange 2 boys and 3 girls in a line, if the 2 boys must stand next to each other?

 Jun 28, 2021
 #1
avatar+234 
+2

If the 2 boys must stand next to each other, you can treat them as one thing. That means there are 4 things to arrange, which is just 4! = 24

 Jun 28, 2021
 #2
avatar+35057 
+3

The two boys can stand next to each other in 8 ways in the line of 5

  then fill the other three slots with the girls   3 x 2 x 1

 

 8 x 3 x 2 x 1 = 48 ways

 Jun 28, 2021
 #3
avatar+234 
+1

Oh I completely forgot about arranging the two boys, thank you!

Awesomeguy  Jun 28, 2021
 #4
avatar+121062 
+1

The 2 two boys  can  be arranged in  2 ways   and they can fill any of  4 spots 

 

And  for each of these, the girls can be arranged in 3! = 6  ways

 

So

 

2 * 4 * 6   =    48  ways

 

cool cool cool

 Jun 28, 2021

17 Online Users

avatar
avatar