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Prove Equation 1.2-2. Hint: First select n1 positions in
Chapter 1, Problem 15E(choose chapter or problem)
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