यदि किसी समारोह में 76 व्यक्ति हैं और यदि वे एक-दूसरे से हाथ मिलाते हैं, तो कितने हैंडशेक संभव हैं?

  1. 156
  2. 1560
  3. ​2850
  4. 5700

Answer (Detailed Solution Below)

Option 3 : ​2850
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Detailed Solution

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अवधारणा:

n चीजों में से r चीजों को चुनने के तरीकों की संख्या nCr द्वारा दी गई है

 

गणना:

हमें हैंडशेक के लिए 76 में से 2 व्यक्तियों का चयन करना है।

हैंडशेक की संख्या =

= 38 × 75

= 2850

इसलिए, विकल्प (3) सही है।

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