Math Problem Statement
express the following expressions in the simplest form
Express the following expressions in the simplest form: \(\frac{C^3_2}{C^2_2}\).
Solution
The image shows an expression that appears to involve fractions or binomial coefficients. I'll work on interpreting and simplifying it. The expression seems to be .
Let’s break it down:
-
represents a combination formula, .
-
represents another combination formula, .
Now, the expression becomes:
Thus, the simplified form of the given expression is 3.
Would you like me to verify the steps or clarify any part? Here are some related questions to expand your understanding:
- What is the general formula for combinations?
- How is the factorial function used in combination calculations?
- How do you compute other forms of binomial coefficients?
- Can combinations be applied in real-world problems like probability?
- What is the difference between combinations and permutations?
Tip: Always
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Math Problem Analysis
Mathematical Concepts
Combinatorics
Factorial
Simplification of Expressions
Formulas
Combination formula: \(\binom{n}{r} = \frac{n!}{r!(n-r)!}\)
Theorems
Basic properties of combinations
Suitable Grade Level
Grades 9-12