Evaluate the following combination.
\[
{ }_{24} C_{3}
\]

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Final Answer: The combination \({ }_{24} C_{3}\) is \(\boxed{2024}\).

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Step 1 ：The combination formula is given by \({ }_{n} C_{r} = \frac{n!}{r!(n-r)!}\) where \(n!\) is the factorial of \(n\), \(r!\) is the factorial of \(r\), and \((n-r)!\) is the factorial of \((n-r)\).

Step 2 ：In this case, \(n = 24\) and \(r = 3\). So, we need to calculate \({ }_{24} C_{3} = \frac{24!}{3!(24-3)!}\)

Step 3 ：After calculating, we find that the combination is 2024.0

Step 4 ：Final Answer: The combination \({ }_{24} C_{3}\) is \(\boxed{2024}\).

Evaluate the following combination.\[{ }_{24} C_{3}\] Answer

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Popular Problems

Evaluate the following combination.
\[
{ }_{24} C_{3}
\]

Answer