Let $s _ { 1 } , s _ { 2 } \ldots , s _ { 101 }$

question 145

Essay

Let $s _ { 1 } , s _ { 2 } \ldots , s _ { 101 }$ be 101 bit strings of length at most 9. Prove that there exist two strings, $s _ { i }$ and $s _ { j }$ where $i \neq j$ that contain the same number of $0 \text { 's }$ and the same number of $\text { 1's. }$ (For example, strings 001001 and 101000 contain the same number of $\text { 0's }$ and the same number of $\text { 1's. }$ )

Assess the economic rationale behind differential pricing strategies based on elasticity of demand.

Examine the role of elasticity in tax policy and its implications for tax revenue.

Analyze the elasticity implications for industry profits and competition.

Understand the principles and effectiveness of therapeutic lifestyle changes and their impact on mental health.

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