document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=393532>Question 393532</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose 5 different integers are randomly chosen from between 20 and 69, inclusive. What is the probability that they each have a different tens digit? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #279280 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=279280\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 50 integers in the set, so 50C5 possible ways to choose 5 different integers. Also, there are 5 possible tens-digits, 2 through 6, so each of the five numbers must represent one of these tens digits. Since there are 10 ways to choose a number with a given tens digits (as in 30, 31, ... 39) there are 10^5 total ways to choose 5 numbers that satisfy these properties.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The probability would therefore be (10^5)/(50C5). </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );