document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=923981>Question 923981</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1/A batch contains 10 transistors of which three are defective. If three are chosen, in how many ways can one get two defective?\r<BR>\n" );
document.write( "\n" );
document.write( "2/ Three marbles are chosen from an urn that contains 5 reds, 4 white, and 3 blue marbles. how many samples if we choose all three of the same color?\r<BR>\n" );
document.write( "\n" );
document.write( "I very appreciate your help !!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #560520 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=560520\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll do the first one to get you started.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "# 1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "10 transistors<BR>\n" );
document.write( "3 defective<BR>\n" );
document.write( "7 nondefective\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Number of ways to get exactly 2 defective\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(3 C 2)*(7 C 1) = (3)*(7) = <font size=5 color=\"red\">21</font>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "There are <font size=5 color=\"red\">21</font> ways to pick exactly 2 defective transistors (out of 3 selected transistors).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Side note: I'm using the <a  rel=nofollow HREF=\"http://www.mathwords.com/c/combination_formula.htm\">combination formula</a> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE _{n}C_{r} = \frac{n!}{r!(n-r)!}\">. Many calculators such as the TI84 have this formula built in (let me know if you need steps on how to use it).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Another side note: 3 C 2 represents picking exactly 2 bad transistors out of 3. 7 C 1 represents picking exactly 1 good transistor out of 7. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );