SOLUTION: 1)In how many ways can 12 students be divided into three groups of 4,if the order of the groups and the arrangement of the students in a group are immaterial ?

Algebra ->  Permutations -> SOLUTION: 1)In how many ways can 12 students be divided into three groups of 4,if the order of the groups and the arrangement of the students in a group are immaterial ?       Log On


   

Question 366812: 1)In how many ways can 12 students be divided into three groups of 4,if the order of the groups and the arrangement of the students in a group are immaterial ?


Found 2 solutions by amoresroy, sudhanshu_kmr:
Answer by amoresroy(361) About Me  (Show Source):
You can put this solution on YOUR website!
In how many ways can 12 students be divided into three groups of 4,if the order of the groups and the arrangement of the students in a group are immaterial ?
12c4 * 8c4 * 4c4 = 495 * 70 * 1
= 34,650

Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

no. of group = 3
no. of ways = [ 12C4 * 8C4 * 4C4 ]/ 3!

= [ 495 * 70 * 1] / 6

= 5775


here, divided by 3!, because here order of these 3 group does not matter.