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Mathematics-Online problems:

Interactive Problem 164: Digital Watch Display

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
During a day, the display of a digital watch shows $ 24 \cdot 60$ different times consisting of $ 4$ digits each, that is $ 4 \cdot 24 \cdot 60 = 5760$ digits altogether:

from     \includegraphics[width=0.1\linewidth]{TdM_11_A4_bild1}     to      \includegraphics[width=0.1\linewidth]{TdM_11_A4_bild2}

How many times does each of the digits $ 0, 1,\, \ldots\, , 9$ occur?


Answer:

\includegraphics[width=2ex]{TdM_11_A4_bild_digit_0} :            \includegraphics[width=2ex]{TdM_11_A4_bild_digit_1} :  
                   
\includegraphics[width=2ex]{TdM_11_A4_bild_digit_2} :       \includegraphics[width=2ex]{TdM_11_A4_bild_digit_3} :  
                   
\includegraphics[width=2ex]{TdM_11_A4_bild_digit_4} :       \includegraphics[width=2ex]{TdM_11_A4_bild_digit_5} :  
                   
\includegraphics[width=2ex]{TdM_11_A4_bild_digit_6} :       \includegraphics[width=2ex]{TdM_11_A4_bild_digit_7} :  
                   
\includegraphics[width=2ex]{TdM_11_A4_bild_digit_8} :       \includegraphics[width=2ex]{TdM_11_A4_bild_digit_9} :  


   

(From: Mathematics Contest 2011)
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  automatically generated: 8/11/2017