A class has 12 students. How many different ways can students be divided into lab groups with 3 students in each group. The answer in the book is 369600. But I don’t understand how they got that answer. The number of ways groups of m and (nm) objects can be formed from n distinct objects is
n!/(m!(nm)!)
The analogous formula for groups each composed of objects m1, m2, m3…mt (which add up to n) is:
n!/(m1!m2!m3!….mt!), where m1+m2+m3…mt = n.
Thus the number of ways to divide 12 students into 4 groups of 3 is 12!/(3! 3! 3! 3!)
= 369600 I don’t know well the calclus is the same gender so you should probably choose division yeah division