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The expression E5(n) is defined as Σ (nCk × k⁴) / Σ (nCk × k³), and it simplifies to n / 4. For n ≤ 109, E5(n) is less than 26. Therefore, the smallest value of n that satisfies the condition E5(n) ≥ 26 is one of the following:
- 110
- 111
- 112
- 113
Correct answer: 110
Solution
We find the smallest value of n that satisfies E5(n) ≥ 26 by using the given formula and condition, which simplifies to n / 4, and testing values of n until the condition is met.
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