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 ?

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) (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) (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.
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