document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194295>Question 1194295</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Laura's iphone requires a 6-digit unlock code using the numbers 0-9 on the keypad. How many different codes could Laura use for her phone? </SPAN>\n" );
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document.write( "Answer:  1,000,000<BR>\n" );
document.write( "Delete the commas if needed.\r<BR>\n" );
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document.write( "Reason:<BR>\n" );
document.write( "There are 10 items in the set {0,1,2,..,9} and 6 slots. That gives 10^6 = 1,000,000 (one million) different six-digit codes where repeat digits are allowed.\r<BR>\n" );
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document.write( "If you wanted, you can consider a smaller subproblem. Imagine you had only 2 slots to work with rather than 6. Then picture a 10 by 10 table to show the 10*10 = 100 two-digit codes possible. Extend this idea out to 6 digits and that's why we multiply.<BR>\n" );
document.write( "We shorten the repeated multiplication by using exponents<BR>\n" );
document.write( "10^6 = multiply out 6 copies of \"10\"<BR>\n" );
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