The given equation is 𝑛𝐶12=𝑛𝐶6. A fundamental property of combinations states that if 𝑛𝐶𝑥=𝑛𝐶𝑦 then either 𝑥=𝑦 or 𝑥+𝑦=𝑛 In this problem, we have 𝑥=12 and 𝑦=6. Since 12≠6, we must use the second part of the property: 𝑛=𝑥+𝑦 𝑛=12+6 𝑛=18
If n^C12 = n^C6, then the value of in is?
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Question context
This question is part of 📏 Arithmetic Aptitude within the broader 🧠 Aptitude Mastery subject and appears in the SPSC – Sindh Public Service Commission preparation collection. Reviewing the answer together with nearby questions helps reinforce the underlying concept and identify how it may appear in competitive exams.