(C) The number of ways to divide $mn$ distinct objects into $m$ groups of equal size $n$ is given by the formula $\frac{(mn)!}{(n!)^m \cdot m!}$.Here,

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$(200)! / (20!)^{10} \cdot 10!$

(C) The number of ways to divide $mn$ distinct objects into $m$ groups of equal size $n$ is given by the formula $\frac{(mn)!}{(n!)^m \cdot m!}$.Here,$mn = 200$ and $n = 20$,which implies $m = 10$.Substituting these values into the formula,we get the number of ways as $\frac{200!}{(20!)^{10} \cdot 10!}$.

Class 11 Mathematics Permutation and Combination Division into groups, Derangements

Medium

The number of ways of dividing $200$ dissimilar things into $10$ groups each containing $20$ elements is

AP EAMCET 2022 All AP EAMCET

A
$(200)! / (20!)^{10} \cdot 10!$
B
$(200)! / (10!)^{10} \cdot 20!$
C
$(200)! / (20!)^{10} \cdot 10!$
D
$(200)! / (10!)^{20} \cdot 20!$

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The number of ways of dividing $200$ dissimilar things into $10$ groups each containing $20$ elements is

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