Evaluate the number. C(95, 92)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Problem Statement:**

Evaluate the number: C(95, 92)

**Explanation:**

This problem asks you to calculate the binomial coefficient, which is commonly represented as "C(n, k)" or "n choose k." It refers to the number of combinations you can obtain by choosing k items from a set of n items without regard to the order of selection.

**Solution:**

To calculate C(95, 92), use the formula for combinations:

\[ C(n, k) = \frac{n!}{k!(n-k)!} \]

For C(95, 92):

\[ C(95, 92) = \frac{95!}{92! \times (95-92)!} = \frac{95!}{92! \times 3!} \]

Simplify further to obtain the number of combinations.
Transcribed Image Text:**Problem Statement:** Evaluate the number: C(95, 92) **Explanation:** This problem asks you to calculate the binomial coefficient, which is commonly represented as "C(n, k)" or "n choose k." It refers to the number of combinations you can obtain by choosing k items from a set of n items without regard to the order of selection. **Solution:** To calculate C(95, 92), use the formula for combinations: \[ C(n, k) = \frac{n!}{k!(n-k)!} \] For C(95, 92): \[ C(95, 92) = \frac{95!}{92! \times (95-92)!} = \frac{95!}{92! \times 3!} \] Simplify further to obtain the number of combinations.
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