Question
Download Solution PDFयदि C(20, n + 2) = C(20, n – 2) है तो n किसके बराबर है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFधारणा:
संकेतन C (n, r) एक बार में r चीजें लेने वाली n विभिन्न चीजों के संयोजन/समूहों की संख्या है और इसे निम्न द्वारा दिया गया है:\(C\;\left( {n,\;r} \right) = \frac{{{\rm{n}}!}}{{{\rm{r}}!\left( {{\rm{n\;}} - {\rm{\;r}}} \right)!}}\)
यदि C(n, x) = C(n, y), तो x + y = n।
गणना:
दिया हुआ C(20, n + 2) = C(20, n – 2)
जैसा कि हम जानते हैं कि, यदि C(n, x) = C(n, y), तो x + y = n।
⇒ (n + 2) + (n – 2) = 20
⇒ 2n = 20
⇒ n = 10Last updated on Jun 18, 2025
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