Chapter 12: Q 2. (page 836)

$(\begin{matrix} n \\ 0 \end{matrix}) = \dots \dots$ and $(\begin{matrix} n \\ 1 \end{matrix}) = \dots \dots$

Short Answer

Expert verified

The value of $(\begin{matrix} n \\ 0 \end{matrix}) = 1$ and $(\begin{matrix} n \\ 1 \end{matrix}) = n$

Step by step solution

Step 1. Explaining first part

$\Rightarrow (\begin{matrix} n \\ 0 \end{matrix}) = \frac{n!}{0! (n - 0)!}$

$\Rightarrow (\begin{matrix} n \\ 0 \end{matrix}) = \frac{n!}{n!} = 1$

Step 2. Explaining second part

$\Rightarrow (\begin{matrix} n \\ 1 \end{matrix}) = \frac{n!}{1! (n - 1)!}$

$\Rightarrow (\begin{matrix} n \\ 1 \end{matrix}) = \frac{n (n - 1)!}{(n - 1)!} = n$

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$(\begin{matrix} n \\ 0 \end{matrix}) = \dots \dots$ and $(\begin{matrix} n \\ 1 \end{matrix}) = \dots \dots$

Short Answer

Step by step solution

Step 1. Explaining first part

Step 2. Explaining second part

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n0=……andn1=……

Short Answer

Step by step solution

Step 1. Explaining first part

Step 2. Explaining second part

One App. One Place for Learning.

Most popular questions from this chapter

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$(\begin{matrix} n \\ 0 \end{matrix}) = \dots \dots$ and $(\begin{matrix} n \\ 1 \end{matrix}) = \dots \dots$