Respuesta :
There are 201376 ways can a group of 5 lucky students be selected to sit in the front of the classroom.
What are combinations?
Combinations are mathematical operations that count the variety of configurations that can be made from a set of objects, where the order of the selection is irrelevant. You can choose any combination of the things in any order.
Permutations and combinations are often mistaken. The chosen components' order is crucial in permutations, though. For instance, whereas permutations treat the arrangements differently, combinations treat the arrangements ab and ba equally (as one arrangement).
Use the combinations formula:
n = 32, r=5
[tex]^{n}C_{r}=\frac{n!}{(n-r)! r!}[/tex]
[tex]^{32}C_{5}=\frac{32!}{(32-5)! 5!}[/tex]
= (32*31*30*29*28*27!)/(5!*27!)
= (32*31*30*29*28)/ (5*4*3*2*1)
= 201376
To learn more about the combinations from the given link
https://brainly.com/question/26852614
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