document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=560244>Question 560244</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Are these answers correct ?<BR>\n" );
document.write( "All groups do question # 1, their group question, and prepare to respond to one other question.  For each question determine if the situation is a permutation or combination and if it is with or without replacement, then determine the answer.\r<BR>\n" );
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document.write( "	Identify each of the following 1) as a permutation or combination and 2) as with or without replacement:<BR>\n" );
document.write( "	Social security numbers  permutation and without replacement<BR>\n" );
document.write( "	Books in your backpack   Combination and without replacement<BR>\n" );
document.write( "	Numbers chosen for the “Big” lotto  Combination and with replacement<BR>\n" );
document.write( "	The cards in your hand for a card game Combination and without replacement<BR>\n" );
document.write( "	Lunch chosen by a student from the cafeteria menu Combination and with replacement.\r<BR>\n" );
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document.write( "5    A cafeteria offers 4 main menu selections, 5 salad selections, 3 fruit selections and 8 drink selections.  How many ways can a student choose a lunch if<BR>\n" );
document.write( "	The student chooses one of each of the selections?<BR>\n" );
document.write( "4*5*3*8=480 selections\r<BR>\n" );
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document.write( "	The student chooses two different main menu selections (must be different) and one salad?<BR>\n" );
document.write( "         30<BR>\n" );
document.write( "      In calculator select 4, nCr, 2=6; same with 5C_r =5    5*6=30<BR>\n" );
document.write( "	The student chooses 3 salads (different), and a fruit?<BR>\n" );
document.write( "   =30\r<BR>\n" );
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document.write( "	The student chooses 4 salads (must be different), and a fruit?<BR>\n" );
document.write( "   =15\r<BR>\n" );
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document.write( "	The student chooses 5 items (main, salad or fruit), all different, and a drink?<BR>\n" );
document.write( "               6336\r<BR>\n" );
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document.write( "	The student chooses 2 different main menu items, 2 different salads, 2 pieces of different fruits and 1 drink (he plays football and is hungry!)<BR>\n" );
document.write( "           1440\r<BR>\n" );
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document.write( "	Which of these are combinations and which are permutations?  Which are with and which without replacement?<BR>\n" );
document.write( "All of them are combination and without replacement.<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #363821 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=363821\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> After a bunch of painful calculations, I agree with all your numbers.<BR>\n" );
document.write( "I also agree with all your classification, except that I do not know what to call social security numbers. The social security numbers I know have repetitions. Can someone have 111-11-1111 as a social security number? What about 000-00-0000? Maybe all such numbers are permissible, for a total of 10^9  possible social security numbers. Would you call it a permutation with replacement? </SPAN>\n" );
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