Question
Download Solution PDFयदि nC5 = nC7, तब nC4 = का मान ज्ञात करें।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
यदि \(\rm ^nC_x={^nC_y}\) तो x + y = n
\(\rm ^nC_r=\frac{n\times(n-1)\times....(n-r+1)}{r!}\)
गणना:
दिया गया है कि: nC5 = nC7
यह केवल तभी संभव है जब n = 5 + 7 = 12 हो
∴ \(\rm ^nC_4=^{12}C_4=\frac{12\times11\times10\times9}{4!}\)
\(=\frac{12\times11\times10\times9}{4\times3\times2}\)
= 495
इसलिए, विकल्प (3) सही है।
Last updated on May 31, 2025
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