Question
Download Solution PDFयदि किसी समारोह में 76 व्यक्ति हैं और यदि वे एक-दूसरे से हाथ मिलाते हैं, तो कितने हैंडशेक संभव हैं?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
n चीजों में से r चीजों को चुनने के तरीकों की संख्या nCr द्वारा दी गई है
\(\rm ^nC_r=\frac{n!}{(n-r)!×(r)!}=\frac{n×(n-1)×....(n-r+1)}{r!}\)
गणना:
हमें हैंडशेक के लिए 76 में से 2 व्यक्तियों का चयन करना है।
\(\therefore \) हैंडशेक की संख्या = \(\rm ^{76}C_2=\frac{76×75}{2× 1}\)
= 38 × 75
= 2850
इसलिए, विकल्प (3) सही है।
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