Math Problem Statement

12C

Solution

The expression "12C" is often interpreted as a combination notation, commonly denoted as (nr)\binom{n}{r}, where nn is the total number of items, and rr is the number of items to be chosen. However, it seems like the value for rr is missing.

To clarify, if you're referring to a combination, the full notation should look like this: (12r)\binom{12}{r}. You would need to specify the value of rr to calculate the combination.

For example, if you meant (123)\binom{12}{3}, this would be calculated as:

(123)=12!3!(123)!=12×11×103×2×1=220\binom{12}{3} = \frac{12!}{3!(12-3)!} = \frac{12 \times 11 \times 10}{3 \times 2 \times 1} = 220

Please provide the value of rr if you want to calculate a specific combination.

Would you like more details on combinations or have any other questions?

Here are some related questions:

  1. What is the formula for calculating combinations?
  2. How do combinations differ from permutations?
  3. Can combinations be used in probability problems?
  4. What are some real-life applications of combinations?
  5. How do you compute combinations with large numbers?

Tip: When dealing with combinations, remember that order does not matter, unlike permutations where the sequence is important.

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Math Problem Analysis

Mathematical Concepts

Combinations

Formulas

Binomial coefficient formula

Theorems

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Suitable Grade Level

High School