Question

evaluate the given expression.
c(7, 6)

Explanation:

Step1: Recall combination formula

The formula for combinations is $C(n,k)=\frac{n!}{k!(n-k)!}$, where $n=7$, $k=6$.

Step2: Substitute values into formula

$C(7,6)=\frac{7!}{6!(7-6)!}=\frac{7!}{6!1!}$

Step3: Simplify factorials

Note that $7!=7\times6!$ and $1!=1$, so $\frac{7\times6!}{6!\times1}=7$

Answer:

7