Tuesday 17 August 2021

Let \(a, b, c\) and \(d\) be four non-negative real numbers where \(a+b+c+d=1.\) The number of different ways one can choose these numbers such that \(a^{2}+b^{2}+c^{2}+d^{2}=\max \{a, b, c, d\}\) is

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