A balanced ternary string of length n is a function f : [n] → {-1,0, 1}. The weight of such a string is the sum f(1) + f(2) + + f(n). Show that the number of balanced ternary strings with weight 0 is 2k ak k k20 where ak = G) if 2k < n, and 0 otherwise.
A balanced ternary string of length n is a function f : [n] → {-1,0, 1}. The weight of such a string is the sum f(1) + f(2) + + f(n). Show that the number of balanced ternary strings with weight 0 is 2k ak k k20 where ak = G) if 2k < n, and 0 otherwise.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 64E
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