## Directrix 3 years ago In how many ways can 5 students be arranged for a group picture with 3 in the first row and 2 in the back row?

1. Directrix

Hint: Whatever the answer, would it be the same if the 5 students were all on one row with the question being "In how many ways can 5 students be arranged in a row ( line )for a group photo?

2. amitlpu91

factorial 5 ways

3. amitlpu91

so wat now ?

4. Directrix

The two questions have the same answer: 120 ways. Three students on the first row and two in the back can be done in the same number of ways as 5 students arranged on one row.

5. satellite73

6. Directrix

Yu missed it. We're practicing combinatorics.

7. satellite73

ahh got it

8. salini

|dw:1330001939260:dw| each time i fill a place one student is taken from my option to fill the next seat as a single student cannot sit in boh seats

9. salini

both*

10. Directrix

The picture is right. Then, use the multiplication rule. 5*4*3*21 = 120 ways

11. salini

yeah i forgot to tell the main 'MULTIPLY' part