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18 mice were placed in two experimental groups and one control group with all groups equally large. In how many ways can the mice be placed into three groups?
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Verified Answer
Since 18 mice were placed equally three given groups.
$\therefore$ Required arrangements
$$
=\frac{\text { Total arrangement }}{\text { Equally likely arrangement }}=\frac{18 !}{6 ! 6 ! 6 !}
$$
$\therefore$ Required arrangements
$$
=\frac{\text { Total arrangement }}{\text { Equally likely arrangement }}=\frac{18 !}{6 ! 6 ! 6 !}
$$
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