How many 4-digit numbers are there whose digit product is 60?

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Mathematics

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How many 4-digit numbers are there whose digit product is 60?

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Анонимid Анонимid · Answer 1

Анонимid Анонимid

[tex]60|2\\30|2\\15|3\\.\ 5|5\\.\ 1|\\\\60=2\cdot2\cdot3\cdot5\\\\\{2;2;3;5\}\to4!:2=12-numbers\\\{1;3;4;5\}\to4!=24-numbers\\\{1;2;6;5\}\to4!=24-numbers\\\\\\Answer:12+12+24=48\ numbers[/tex]

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