Question

question 8
3 pts
in how many ways can a committee of 8 members be formed from a group of 12 individuals?

Explanation:

Step1: Identify the combination formula

The formula for combinations is \(C(n,r)=\frac{n!}{r!(n - r)!}\), where \(n\) is the total number of items, and \(r\) is the number of items to be chosen. Here, \(n = 12\) and \(r=8\).

Step2: Substitute values into the formula

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Step3: Simplify the expression

Cancel out the \(8!\) terms. Then calculate \(\frac{12\times11\times10\times9}{4\times3\times2\times1}=\frac{11880}{24} = 495\)

Answer:

495