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  • 16 frogs were divided into two experimental groups and two control groups, with each group being the same size. How many different ways can the frogs be divided into four groups?<div

16 frogs were divided into two experimental groups and two control groups, with each group being the same size. How many different ways can the frogs be divided into four groups?

Option: 1

 \frac{16!}{\left ( 4! \right )^4}

 

 


Option: 2

\frac{16!}{\left ( 2! \right )^4}

 


Option: 3

\frac{16!}{\left ( 4! \right )^2}

 


Option: 4

\frac{16!}{\left ( 2! \right )^2}


Answers (1)

best_answer

Given that,

The number of frogs is 16.

The number of groups is 4.

Because the groups are equally large, the maximum number of frogs in each group is \frac{16}{4}=4.

The number of frog placement options is 16!

The placement of frogs in each group 4!

Therefore, the required number of ways is \frac{16!}{4!4!4!4!}=\frac{16!}{\left ( 4! \right )^4}.

Posted by

Divya Prakash Singh

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