Chapter 12: Q 9. (page 836)

Evaluate $(\begin{matrix} 50 \\ 49 \end{matrix})$

Short Answer

Expert verified

The value of $(\begin{matrix} 50 \\ 49 \end{matrix}) = 50$

Step by step solution

Step 1. Defination

if $j$ and $n$ are integers with $0 \leq j \leq n$ , the symbol is defined as $(\begin{matrix} n \\ j \end{matrix}) = \frac{n!}{j! (n - j)!}$

Step 2. Explanation

$\Rightarrow (\begin{matrix} 50 \\ 49 \end{matrix}) = \frac{50!}{49! (50 - 49)!}$

$\Rightarrow (\begin{matrix} 50 \\ 49 \end{matrix}) = \frac{50 \times 49 \times 48 \times 47 \dots \dots \times 1}{(49 \times 48 \times 47 \dots \dots \times 1) (1)}$

$\Rightarrow (\begin{matrix} 50 \\ 49 \end{matrix}) = 50$

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Evaluate $(\begin{matrix} 50 \\ 49 \end{matrix})$

Short Answer

Step by step solution

Step 1. Defination

Step 2. Explanation

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Evaluate5049

Short Answer

Step by step solution

Step 1. Defination

Step 2. Explanation

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Probability and Statistics

Logic and Functions

Theoretical and Mathematical Physics

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

Evaluate $(\begin{matrix} 50 \\ 49 \end{matrix})$