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Nepali Educate is an online platform dedicated to providing educational resources, support, and information for students, parents, and educators in Nepal.
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Solution:
Let the total number of persons in a room be n since two
persons make 1 handshake
∴ The number of handshakes = nC2
So nC2 = 66
⇒$\frac{{n!}}{{2!(n - 2)!}} = 66$
⇒$\frac{{n(n - 1)(n - 2)!}}{{2 \times 1 \times (n - 2)!}} = 66$
⇒$\frac{{n(n - 1)}}{2} = 66$
⇒ n2 – n = 132
⇒ n2 – n – 132 = 0
⇒ n2 – 12n + 11n – 132 = 0
⇒ n(n – 12) + 11(n
– 12) = 0
⇒ (n – 12)(n +
11) = 0
⇒ n – 12 = 0, n
+ 11 = 0
⇒ n = 12, n = – 11
∴ n = 12 .... (∵ n ≠ – 11)
Nepali Educate is an online platform dedicated to providing educational resources, support, and information for students, parents, and educators in Nepal.
Nepali Educate offers a range of services, including educational articles, exam preparation resources, career guidance, and information about educational institutions in Nepal.
All resources on Nepali Educate are accessible through the website. Simply visit the website and explore the various sections, including articles, exam tips, and career guidance.
Yes, the majority of the resources on Nepali Educate are available for free. However, there might be some premium or additional services that require a subscription or payment.
Nepali Educate welcomes contributions from educators, professionals, and students. If you have valuable insights, educational content, or resources to share, you can contact us through the website for contribution opportunities.
