a) Prove that there exists 5 nonnegative real numbers with sum equal to 1, such that no matter how we arrange them on circle, two neighboring numbers exist with product not less than 91
a) Prove that for every 5 nonnegative real numbers with sum equal to 1, we can arrange them on circle, such that product of every two neighboring numbers is not greater than 91 Productscirclecombinatorics