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Solving the 24 Game for 5, 5, 5 and 1 [closed]

By Emma Martinez
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The 24 Game is an arithmetical card game in which the objective is to find a way to manipulate four integers so that the end result is 24.

How do you get $24$ using $5, 5, 5,$ and $1?$

Solution: $\displaystyle5\times\left[5-\left(\frac{1}{5}\right)\right].$

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9 Answers

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Here's a solution using just the $+$, $-$, $\times$, $/$ operations, and parentheses: $$ 5 \times (5 - (1/5)) $$

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With Euler's Totient function:

$$\phi(5 \cdot 5) + \phi(5 \cdot 1)$$

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Here is one for you guys

$$ -1^5 + 5*5 $$

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One possible answer is $$5 \cdot 5 - \lceil \frac{1}{5} \rceil$$

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One easy way:

$$(5-1)!\cdot\frac{5}5$$

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Or $$\sqrt{5\cdot 5} \cdot5 - 1$$

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$1\times\frac{5}{5}\Gamma(5){}{}{}{}{}{}{}{}$

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One possible way:

$$(5-5)+(5-1)!=24$$

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With derangements:

$$!5 - 5(5 - 1)$$

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