Question
Download Solution PDF9 खेळाडूंमधून 5 खेळाडूंचा संघ किती मार्गांनी निवडला जाऊ शकतो जेणेकरून दोन विशिष्ट खेळाडू नेहमी वगळले जातील?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
9 सदस्यांमधून 5 सदस्य निवडले पाहिजे
दोन विशिष्ट सदस्यांना नेहमी वगळले पाहिजे
वापरलेले सूत्र:
nCr = n!/(n – r)! r!
गणना:
प्रश्नानुसार,
दोन सदस्यांना नेहमीच वगळण्यात आले आहे म्हणून आपण प्रत्यक्षात निवडत आहोत
7 सदस्य आणि 5 मार्गांनी निवडलेल्या सदस्यांची संख्या
7C5 = 7!/(7 – 5)! 5!
⇒(7 × 6 × 5!)/(5! × 2!)
⇒ (7 × 6)/2
⇒ 7 × 3
⇒ 21
∴ मार्गांची संख्या 21 आहे.
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