The coach can select the players in 1081575 ways .
A combination is a technique for finding the number of possible arrangements in a set of items where the order of the selection is irrelevant. .
The formula for determining the number of possible arrangements by selecting only a few objects from a set with no repetition is expressed mathematically as follows:
[tex]nC_r=\frac{n!}{r!(n-r)!}[/tex]
Where:n denotes the total number of elements in a set,
k denotes the number of selected objects
! - the factorial
Factorial (noted as "!") is the sum of all positive integers that are less than or equal to the number preceding the factorial sign.
For instance, [tex]3! = 1 * 2 * 3 = 6[/tex].
Given,
Total number of players,n = 25
Number of selected players,r = 8
Number of ways that players are selected is determined by,
[tex]25C_8=\frac{25!}{8!(25-8)!}\\\\=\frac{15511210043330985984000000}{(40320)*(355687428096000)}\\\\=1081575[/tex]
Thus, by combination, the selection can be done in 1081575 ways.
To learn more about combinations refer here
https://brainly.com/question/1499463
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Your question is incomplete , here is the complete question.
There are 25 players in a basketball team. The coach must select 8 players to travel to an away game. How many ways are there to select the players who will travel?
