Traditional Culture Encyclopedia - Photography major - There are several ways to arrange three houses, one each for the deer, elephant and rabbit.
There are several ways to arrange three houses, one each for the deer, elephant and rabbit.
There are 6 arrangements.
According to the meaning of the question, arrange three houses for the deer, elephant and rabbit, one for each animal.
Then the possible situations are:
1. Deer, elephant, rabbit
2. Deer, rabbit, elephant
3 , rabbit, deer, elephant
4. rabbit, elephant, deer
5. elephant, deer, rabbit
6. elephant, rabbit, deer
p>So there are 6 arrangements in one ***.
Extended information:
This type of problem is a combination problem in mathematics.
Combination is one of the important concepts in mathematics. Taking m different elements (0 ≤ m ≤ n) from n different elements each time and combining them into a group regardless of their order is called a combination of selecting m elements from n elements without repetition. The total number of all such combinations is called the number of combinations. The calculation formula for this number of combinations is
or
The total number of combinations is to take 0 and 1 each time from n different elements. , the sum of all combinations of 2,...,n different elements, that is,
The total number of combinations of an n-element set is the number of its subsets.
The properties of the combinatorial number formed by taking m different elements each time from n different elements are:
Using these two properties, the calculation and calculation of the combinatorial number can be simplified. Prove problems related to combinatorial numbers.
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