Question

7.4
score: 4/17 answered: 4/17
question 5
evaluate.
c(12,11) =
question help: ebook written example

Explanation:

Step1: Recall combination formula

The formula for combinations is \( C(n, k)=\frac{n!}{k!(n - k)!} \), where \( n!=n\times(n - 1)\times\cdots\times1 \) and \( 0!=1 \). Here, \( n = 12 \) and \( k = 11 \).

Step2: Substitute values into formula

Substitute \( n = 12 \) and \( k = 11 \) into the formula: \( C(12,11)=\frac{12!}{11!(12 - 11)!}=\frac{12!}{11!1!} \).

Step3: Simplify factorials

Since \( 12!=12\times11! \) and \( 1!=1 \), we have \( \frac{12\times11!}{11!\times1} \). The \( 11! \) terms cancel out, leaving \( 12 \).

Answer:

\( 12 \)