Respuesta :
Answer:
B) 504
Step-by-step explanation:
I just took the test! Hope this helps!
The number of ways first, second, and third can place be assigned = 504
What is permutation?
"It is a method of the number of ways a particular set can be arranged, where order of the arrangement matters."
What is the formula of permutation?
[tex]^nP_r=\frac{n!}{(n-r!)}[/tex]
What is n! ?
For a positive integer n,
n! = n × (n - 1) × (n - 2) × . . . × 2 × 1
For given question,
3 out of 9 students in the computer club are getting prizes for first, second, and third place in a competition.
We need to find the number of ways first, second, and third can place be assigned.
Here n = 9 and r = 3
Using permutation formula,
[tex]^9P_3\\\\=\frac{9!}{(9-3)!}\\\\ =\frac{9\times 8\times 7 \times 6!}{6!}\\\\ =9\times 8\times 7\\\\=504[/tex]
Therefore, the number of ways first, second, and third can place be assigned = 504
Learn more about the permutation here;
https://brainly.com/question/13387529
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