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Anonymous...urgent!

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The following questions were asked by visitors named Anonymous...urgent!.

How many 7 digit positive integers are there such that the product of the individual digits of each number is equal to 10000?
12 years ago
A number, greater than or equal to 2, is called product-perfect if it is equal to the product of all of its proper divisors. For example, 6=1×2×3, hence 6 is product perfect. How many product-perfect numbers are there below 50?
12 years ago
ABCDE is a regular pentagon. FAD is an equilateral triangle, such that points F and E are on the same side of line AD. What is the measure (in degrees) of ∠FAB?
12 years ago

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