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Omni-MATH / Pick a subset of at least four of the following seven numbers, order them from…

Problem

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problem

Pick a subset of at least four of the following seven numbers, order them from least to greatest, and write down their labels (corresponding letters from A through G) in that order: (A) π\pi; (B) 2+3\sqrt{2}+\sqrt{3}; (C) 10\sqrt{10}; (D) 355113\frac{355}{113}; (E) 16tan−115−4tan−1124016 \tan ^{-1} \frac{1}{5}-4 \tan ^{-1} \frac{1}{240} (F) ln(23)\ln (23); and (G) 2e2^{\sqrt{e}}. If the ordering of the numbers you picked is correct and you picked at least 4 numbers, then your score for this problem will be (N−2)(N−3)(N-2)(N-3), where NN is the size of your subset; otherwise, your score is 0.
Plain-text mathematical notation (without MathML)
Pick a subset of at least four of the following seven numbers, order them from least to greatest, and write down their labels (corresponding letters from A through G) in that order: (A) π; (B) √(2)+√(3); (C) √(10); (D) (355)/(113); (E) 16tan^(−1)(1)/(5)−4tan^(−1)(1)/(240) (F) ln(23); and (G) 2^(√(e)). If the ordering of the numbers you picked is correct and you picked at least 4 numbers, then your score for this problem will be (N−2)(N−3), where N is the size of your subset; otherwise, your score is 0.
Original LaTeX notation
Pick a subset of at least four of the following seven numbers, order them from least to greatest, and write down their labels (corresponding letters from A through G) in that order: (A) $\pi$; (B) $\sqrt{2}+\sqrt{3}$; (C) $\sqrt{10}$; (D) $\frac{355}{113}$; (E) $16 \tan ^{-1} \frac{1}{5}-4 \tan ^{-1} \frac{1}{240}$ (F) $\ln (23)$; and (G) $2^{\sqrt{e}}$. If the ordering of the numbers you picked is correct and you picked at least 4 numbers, then your score for this problem will be $(N-2)(N-3)$, where $N$ is the size of your subset; otherwise, your score is 0.

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