Langsam958 Langsam958

11-06-2014
Mathematics

Answered

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

Verified Answer :

Anonymous Anonymous

05-07-2014

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

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