Anderson's game of 24

Number Theory Level 1

Petr and Jon are playing a guessing game. Petr thinks of 2 integers \((a, b) \), each of which are from 0 to 10, and tells Jon their product. If Petr says that the product is 24, how many distinct ordered pairs of integers could Petr be thinking of?

This problem is posed by Anderson A.

Details and assumptions

For an ordered pair of integers \((a,b)\), the order of the integers matter. The ordered pair \((1, 2)\) is different from the ordered pair \((2,1) \).


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