(iii) Use the Binomial Theorem to show that F-5(*) Σ() = 27 k=0

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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1.2. Probability 

(iii) Use the Binomial Theorem to show that
0
3n
n
Σ (1) ₂²
k=0
Transcribed Image Text:(iii) Use the Binomial Theorem to show that 0 3n n Σ (1) ₂² k=0
Expert Solution
Step 1: Given information.

It is to be proved using the Binomial Theorem that 

3 to the power of n equals sum from k equals 0 to n of open parentheses table row n row k end table close parentheses 2 to the power of k

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