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Home » See the ‘Yes’ GIF Everyone’s Using—It’s the Viral Clue You Need to See! - AMAZONAWS

See the ‘Yes’ GIF Everyone’s Using—It’s the Viral Clue You Need to See! - AMAZONAWS

See the ‘Yes’ GIF Everyone’s Using—It’s the Viral Clue You Need to See!

📅 March 11, 2026 👤 scraface
Mar 11, 2026
See the ‘Yes’ GIF Everyone’s Using—It’s the Viral Clue You Need to See!

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📌 السؤال: أوجد المتجه $\mathbf{v}$ بحيث أن $\mathbf{v} \times \begin{pmatrix} 1 \\ 0 \\ 0 \end{pmatrix} = \begin{pmatrix} 0 \\ 3 \\ -2 \end{pmatrix}$.
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📌 N(5) = 500 \cdot e^{0.4 \cdot 5} = 500 \cdot e^{2} \approx 500 \cdot 7.389 = 3694.5
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📌 Solution: First, arrange the 6 modules without restrictions: $\frac{6!}{3!2!1!} = 60$. For the constraint, note the biology lab (B) must not follow both chemistry experiments (C). Total valid arrangements: Calculate total permutations where B is not after both C's. This is equivalent to ensuring B is not in a position after both C's. Using combinatorial cases: B is first, or B is second with at least one C before it, or B is third with at least two C's before it. Alternatively, recognize that the condition excludes only $ \frac{1}{3} $ of all permutations where B is after both C's (since the C's can be ordered in 2 ways). Thus, valid arrangements: $60 - \frac{1}{3} \times 60 = 40$. The final answer is $\boxed{40}$.

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