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?

Question

directrix · Answer

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?

anonymous · Answer

factorial 5 ways

anonymous · Answer

so wat now ?

directrix · Answer

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.

anonymous · Answer

was this a quiz?

directrix · Answer

Yu missed it. We're practicing combinatorics.

anonymous · Answer

ahh got it

anonymous · Answer

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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