18 mice were placed in two experimental groups an one control group, with all groups equally large. In how many ways can the mice be placed into three groups?

Given, Total number of mice=18Total number of ways in which the mice can be placed=18!And, Total number of groups=3Since the groups are equally large so each group have 6 mice.And, they can be placed in each group =6!Therefore, total no. of ways in which the mice can be placed in three groups are=18!6!×6!×6!=18×17×16×15×14×13×12×11×10×9×8×7×6!6!×6!×6!=18×17×16×15×14×13×12×11×10×9×8×76!×6!=17153136
Note:
n!=n(n-1)(n-2)..4.3.2.1

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