A speech class has $4$ freshmen and $3$ sophomores. (Everyone is distinguishable.) In how many ways can they stand in line, so that all of the freshmen are standing next to each other?
The freshmen are able to stand in 4! = 24 ways. There are 4 ways we can put them into the line with them all standing together.
The sohphomores can staned in 3! = 6.
We just have to do 24*4*6 = 576.
There are 576 ways we could arrange them!
Thanks! :)
The freshmen are able to stand in 4! = 24 ways. There are 4 ways we can put them into the line with them all standing together.
The sohphomores can staned in 3! = 6.
We just have to do 24*4*6 = 576.
There are 576 ways we could arrange them!
Thanks! :)