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MATH / For how many three-element sets (order doesn't matter) of positive integers…

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problem

For how many three-element sets (order doesn't matter) of positive integers {a,b,c}\{a,b,c\} is it true that a×b×c=2310a\times b\times c=2310? (The positive integers a,a, b,b, and cc are distinct.)
Plain-text mathematical notation (without MathML)
For how many three-element sets (order doesn't matter) of positive integers {a,b,c} is it true that a×b×c=2310?  (The positive integers a, b, and c are distinct.)
Original LaTeX notation
For how many three-element sets (order doesn't matter) of positive integers $\{a,b,c\}$ is it true that $a\times b\times c=2310$?  (The positive integers $a,$ $b,$ and $c$ are distinct.)

level

Level 5

type

Counting & Probability

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