document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=745070>Question 745070</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There are 4 hotels in a certain city. If 3 men check into hotels in a day, find the probability that each check into (i) a different hotel & <BR>\n" );
document.write( "(ii) the same hotel.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #453731 by </B><A HREF=/tutors/aboutme.mpl?userid=sachi><B>sachi(548)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sachi><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=sachi><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=453731\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are 4 hotels in a certain city. If 3 men check into hotels in a day,<BR>\n" );
document.write( "the probability that each check into (i) a different hotel <BR>\n" );
document.write( "the 1st man enters into a hotel 1n 4 ways<BR>\n" );
document.write( "the 2nd man enters into a hotel 1n 3 ways (as one hotel is booked )<BR>\n" );
document.write( "the 3rd man enters into a hotel 1n 2 ways (as two hotel is booked )<BR>\n" );
document.write( "so the probability =4*3*2=24 <BR>\n" );
document.write( "the probability that each check into (ii) the same hotel.<BR>\n" );
document.write( "the 1st man enters into a hotel 1n 4 ways<BR>\n" );
document.write( "the 2nd man enters into a hotel 1n 4 ways (as hotel is repeated )<BR>\n" );
document.write( "the 3rd man enters into a hotel 1n 4 ways (as hotel is repeated)<BR>\n" );
document.write( "so the probability =4*4*4=64  </SPAN>\n" );
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