Integral Solutions

Probability Level 5

abcde=1050abcde=1050

and a, b, c, d, e are positive integers. How many ordered tuples (a,b,c,d,e)(a, b, c, d, e) exist?

Extra Credit: How many unordered sets a,b,c,d,e{a, b, c, d, e} exist?

Extra Credit: How many ordered tuples (a,b,c,d,e)(a, b, c, d, e) exist such that a≠b≠c≠d≠e?

Unrelated Credit: Solve the Aunty's Teacups problem

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