+0  
 
0
3
1
avatar+692 

A speech class has $4$ freshmen and $3$ sophomores. (Everyone is distinguishable.) In how many ways can they stand in line, so that all the freshmen are standing together?

 Dec 14, 2023
 #1
avatar+126978 
+1

The freshmen can  be  arranged in 4!  = 24 ways as a group

And they can be placed (as a group) in 4 ways in the line

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

 

So

 

24 * 4 * 6  =  

 

576 arrangements

 

 

cool cool cool

 Dec 14, 2023

1 Online Users

avatar