Respuesta :
Answer: There are 120 different ways we can arrange reindeer.
Step-by-step explanation:
Since we have given that
Number of reindeer = 5
Number of them fly their sleigh = 4
We need to find the number of different ways we can arrange their reindeer .
For this we will use "Permutation":
here, n = 5
r = 4
So, it becomes,
[tex]^nP_r=\frac{n!}{(n-r)!}\\\\So,\\\\^5P_4=\frac{5!}{(5-4)!}\\\\^5P_4=120[/tex]
Hence, there are 120 different ways we can arrange reindeer.
The total number of different ways can by which 4 reindeer can arrange from 5 reindeer named, Jebediah, Ezekiel, Quentin, Lancer, and Gloopin is 120.
What is permutation?
The permutation is the arrangement of the things or object in a systematic order, in all the possible ways. The order of arrangement in permutation is in linear.
It has 5 reindeer, Jebediah, Ezekiel, Quentin, Lancer, and Gloopin, and you want to have 4 fly your sleigh.
- The total number of reindeer is n= 5.
- The number of reindeer fly the sleigh is r= 4.
The number of ways in which 4 reindeer can arrange when there is a total number of reindeer is 5, is,
[tex]^5P_4=\dfrac{5!}{(5-4)!}\\^5P_4=\dfrac{5!}{1!}\\^5P_3=120[/tex]
Thus, the total number of different ways can by which 4 reindeer can arrange from 5 reindeer named, Jebediah, Ezekiel, Quentin, Lancer, and Gloopin is 120.
Learn more about the permutations here;
https://brainly.com/question/12468032
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