Prove Equation 1.2-2. Hint: First select n1 positions in

Chapter 1, Problem 15E

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QUESTION:

Prove Equation 1.2-2. Hint: First select \(n_{1}\) positions in \(\left(\begin{array}{c}n \\ n_{1}\end{array}\right)\) ways. Then select \(n_{2}\) from the remaining \(n-n_{1}\) positions in \(\left(\begin{array}{c}n-n_{1} \\ n_{2}\end{array}\right)\) ways, and so on. Finally, use the multiplication rule.

Equation Transcription:

 

Text Transcription:

n_1  

(_n_₁^n)  

n_2  

n-n_1  

(n_2^n- n_1)

Questions & Answers

QUESTION:

Prove Equation 1.2-2. Hint: First select \(n_{1}\) positions in \(\left(\begin{array}{c}n \\ n_{1}\end{array}\right)\) ways. Then select \(n_{2}\) from the remaining \(n-n_{1}\) positions in \(\left(\begin{array}{c}n-n_{1} \\ n_{2}\end{array}\right)\) ways, and so on. Finally, use the multiplication rule.

Equation Transcription:

 

Text Transcription:

n_1  

(_n_₁^n)  

n_2  

n-n_1  

(n_2^n- n_1)

ANSWER:

Answer :

Step 1 of 1 :

The claim is to prove  =

We have,  positions in  ways and then select  from the n -   ways

We have to use the mul

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