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x - 3 = 0 \quad \Rightarrow \quad x = 3 - AMAZONAWS
x - 3 = 0 \quad \Rightarrow \quad x = 3 - AMAZONAWS
📅 March 11, 2026
👤 scraface
Mar 11, 2026
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📌 Question: A bioinformatics developer creates a tool to analyze 6 gene sequences and 4 protein markers. How many ways can 2 sequences and 2 markers be selected if one specific marker is mandatory for all selections?
📌 Solution: Since one marker is mandatory, choose 1 additional marker from the remaining 3: $\dbinom{3}{1}$. Then, select 2 sequences from 6: $\dbinom{6}{2}$. Multiply these: $\dbinom{6}{2} \times \dbinom{3}{1} = 15 \times 3 = 45$. The total number of valid combinations is $\boxed{45}$.Question: A tech startup founder has 8 potential investment opportunities and wants to diversify by selecting 5, but two specific opportunities are mutually exclusive. How many valid investment portfolios can be formed?
📌 Also: falsz â wahr = wahr â gesamte Aussage wahr
📌 Also formulieren wir die Titel so, dass sie sowohl korrekt als auch attraktiv sind: