Math Problem Statement
Evaluate \(9C_4\)
Solution
The problem presented is to evaluate , which represents the number of ways to choose 4 objects from a set of 9, also known as a combination.
The formula for combinations is:
In this case, and , so the calculation is:
Let me calculate it for you.The value of is . Therefore, the correct answer is the third option: 126.
Would you like further details or have any other questions?
Here are five related questions:
- How would you calculate ?
- What is the difference between combinations and permutations?
- How would the formula change if you were calculating permutations instead of combinations?
- What is , and how is it related to ?
- What does the factorial symbol (!) represent in mathematics?
Tip: The combination formula is symmetric, meaning .
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Math Problem Analysis
Mathematical Concepts
Combinatorics
Factorials
Formulas
\(\binom{n}{r} = \frac{n!}{r!(n-r)!}\)
Theorems
Combination formula
Suitable Grade Level
Grades 8-10