There are 28 ways to choose the players for the workshop,
A combination in mathematics is the act of choosing elements from a set that includes distinctive members so that the order of selection is not significant or unimportant.
It can be expressed by using the formula:
[tex]\mathbf{^nC_r = \dfrac{n!}{r!(n-r)!}}[/tex]
From the given parameters:
- Number of players to go to a skills workshop n = 8
- Number of players a coach chooses r = 6
∴
[tex]\mathbf{^8C_6 = \dfrac{8!}{6!(8-6)!}}[/tex]
[tex]\mathbf{\implies \dfrac{8 \times 7 \times 6!}{6!(2)!}}[/tex]
[tex]\mathbf{\implies \dfrac{8 \times 7}{2!}}[/tex]
[tex]\mathbf{\implies \dfrac{8 \times 7}{2\times 1}}[/tex]
= 28 ways
Learn more about Combination in mathematics here:
https://brainly.com/question/9465501
