The number of different ways by which can a group of 5 students be chosen from the 26 students is 65780.
What is combination?
Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.
The formula of combination is,
[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
Here, n is the total number of items and r is the number of ways by which an item is chosen from the set.
26 students are in a classroom. The number of different ways can a group of 5 students be chosen are,
[tex]^26C_5=\dfrac{26!}{5!(26-5)!}\\^26C_5=\dfrac{26\times25\times24\times23\times22\times21!}{5!21!}\\^26C_5=\dfrac{26\times25\times24\times23\times22}{5\times4\times3\times2\times1}\\^26C_5=65780[/tex]
Thus, the number of different ways by which can a group of 5 students be chosen from the 26 students is 65780.
Learn more about the combination here;
https://brainly.com/question/17139330
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