math zero
questions that have been purposely and painfully designed so that the answers are all zero—no answers pages helps save time and money for the problem solver.
two math zero questions are:
1) a set of 9-digit numbers is generated by using each of the digits 1 to 9 only once. how many of these numbers are prime?
2) the product of four integers a, b, c, and d is 9, with a ≠ b ≠ c ≠ d. what is the sum of the four integers?
hints: 1) show that any of these numbers is divisible by 9. 2) think of a number and its negative.
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