Math Problem Statement
Calculate the value of the mathematical expression (12 C5) · (7 C3).
Solution
The mathematical expression given in the image is:
Solution:
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Calculate :
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Calculate :
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Multiply the results:
Final Answer:
Would you like additional details or explanation on combinations? Let me know!
Relative Questions:
- What are the general properties of binomial coefficients?
- How can we interpret combinations in probability and counting?
- How does the factorial function simplify expressions involving combinations?
- What is the difference between combinations and permutations?
- How can we calculate combinations efficiently for large numbers?
Tip:
When solving combinations, cancel out as many terms
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Math Problem Analysis
Mathematical Concepts
Combinatorics
Binomial Coefficients
Factorials
Formulas
nCr = n! / [r! · (n - r)!]
(nCr) · (mCr)
Theorems
Binomial Coefficient Formula
Suitable Grade Level
Grades 9-12