SBI Clerk Prelims practice question
If nC9 = nC7, find the value of nC5.
From a SBI Clerk Prelims Quantitative Aptitude practice set · Quantitative Aptitude
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Correct answer: (B) 4368
By the symmetry property nCr = nC(n-r), nC9 = nC7 implies 9 + 7 = n, so n = 16. Then nC5 = 16C5 = (16x15x14x13x12)/(5x4x3x2x1) = 4368.
हिंदी में प्रश्न
यदि nC9 = nC7 है, तो nC5 का मान ज्ञात कीजिए।
उत्तर जाँचने के लिए किसी विकल्प पर टैप करें।
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सही उत्तर: (B) 4368
सममिति गुण nCr = nC(n-r) के अनुसार, nC9 = nC7 से 9 + 7 = n प्राप्त होता है, अतः n = 16। तब nC5 = 16C5 = (16x15x14x13x12)/(5x4x3x2x1) = 4368 है।
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