Question

a coach chooses six out of eight players to go to a skills workshop.
if order does not matter, in how many ways can he choose the players for the workshop?
6
8
28
56

Explanation:

Step1: Use combination formula

The combination formula is \(C(n,r)=\frac{n!}{r!(n - r)!}\), where \(n = 8\) (total number of players) and \(r=6\) (number of players to be chosen).

Step2: Simplify using property \(C(n,r)=C(n,n - r)\)

Since \(C(8,6)=C(8,8 - 6)=C(8,2)\).

Step3: Calculate \(C(8,2)\)

$$
LATEXBLOCK0
$$

Answer:

C. 28