Question

the golf club can send a team of four students to the next golf tournament. if there are 15 students in the club, how many different teams of four can be selected? 60 936 1365 10264 32760

Explanation:

Step1: Choose combination formula

Team order doesn't matter, so use $C(n,k)=\frac{n!}{k!(n-k)!}$ where $n=15$, $k=4$.

Step2: Calculate factorial values

$15! = 15×14×13×12×11!$, $4! = 24$, $(15-4)! = 11!$.

Step3: Simplify the formula

$C(15,4)=\frac{15×14×13×12}{4×3×2×1}=\frac{32760}{24}=1365$.

Answer:

C. 1365