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I have $n$ friends. Every night of the 365-day year I invite 4 of them to dinner. What is the smallest $n$ could be such that it is still possible for me to make these invitations without ever inviting the same group of four friends

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Respuesta :

We get minimum value of n  = 12.

What is linear equation and examples?

  • The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.
  • An example of linear equation is y=mx + b. noun. 20. (mathematics) A polynomial equation of the first degree (such as x = 2y - 7)

Total no of ways of choosing 4 persons out of a groups of n persons

                  = (n  4 ) = n(n - 1)(n - 2 ) ( n - 3)/24

According to the question  = ( n  4 ) = 365

⇒n(n-1)(n-2)(n-3) = 4 * 365 also n is a integer

By hit & and trial , we get minimum value of n  = 12

Learn more about linear equation

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