document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=945260>Question 945260</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 5 apples, 3 pears, and 4 peaches in a basket. Three fruits are randomly picked from it. What is the probability that all three are different? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #576439 by </B><A HREF=/tutors/aboutme.mpl?userid=mathmate><B>mathmate(429)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathmate><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=mathmate><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=576439\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">   <BR>\n" );
document.write( "Given:<BR>\n" );
document.write( "5 apples, 4 peaches and 3 pears.<BR>\n" );
document.write( "Find probability of randomly picking 3 fruits that are different.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "Solution:<BR>\n" );
document.write( "Denote <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=nCr=n%21%2F%28%28n-r%29%21%2Ar%21%29 ALIGN=MIDDLE  ALT=\"nCr=n%21%2F%28%28n-r%29%21%2Ar%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Number of ways of arranging 5 apples, 4 peaches and 3 pears = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12C3=220 ALIGN=MIDDLE  ALT=\"12C3=220\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Number of ways of arranging 3 different fruits = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5C1+%2A+4C1+%2A+3C1+=+5%2A4%2A3+=+60+ ALIGN=MIDDLE  ALT=\"5C1+%2A+4C1+%2A+3C1+=+5%2A4%2A3+=+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Probability of picking 3 fruits that are different = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F220=3%2F11 ALIGN=MIDDLE  ALT=\"60%2F220=3%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "Answer:<BR>\n" );
document.write( "Probability of randomly choosing 3 fruits that are different = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F11 ALIGN=MIDDLE  ALT=\"3%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );