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If a, b, c, d, e are positive real numbe...

If `a, b, c, d, e` are positive real numbers such that, `a+b+c+d+e=15` and `ab^2 c^3 d^4 e^5 = (120)^3 .50` then the value of `a^2 + b^2 + c^2 + d^2 +e^2` is

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