Answer :
By the concept of permutation and combinations there are 7,484,400 ways are there to distribute 12 distinguishable objects into six distinguishable boxes so that two objects are placed in each box.
What are permutation and combination?
Putting things or numbers in order is known as a permutation. Combinations are a means to choose items or numbers from a collection of items or groups of items without regard to their order.
The number of ways to sort identifiable things into indistinguishable bins is 11 or "double-factorial," which is defined as 11 (as shown). Given that the bins are distinct, that is multiplied by 6! Following are several explanations for the 11!!11!! There are 11 potential companions for the chosen "first" object. Following that decision, there will be 10 items left, which indicates that the next arbitrary object will have 9 companions. then do it again. A more traditional strategy would be this. The objects that fit in the first container have 122 possibilities, the second bin has 102 possibilities, and so on.
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