document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153448>Question 153448</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.In how many different ways can 6 classes be scheduled during a 6-period day?<BR>\n" );
document.write( "2.In how many different ways can you arrange the letters of the word INTERNET?<BR>\n" );
document.write( "3.In how many different ways can you arrange the letters of the word COMPUTER taking 4 at a time?<BR>\n" );
document.write( "4.In how many different ways can you arrange the letters of the word TRIGONOMETRY? <BR>\n" );
document.write( "5.In how many different ways can the 9 starters of a baseball team be placed in their positions?<BR>\n" );
document.write( "6. How many different two-digit numbers can be formed from the digits 3, 1, 4, and 5 (allowing reuse)? <BR>\n" );
document.write( "7. Of 10 candidates, the first 6 are being interviewed in the morning, and the last 4 in the afternoon. In how many ways can the interviewer arrange a schedule? <BR>\n" );
document.write( "8.How many seven-digit phone numbers can be formed if the first digit cannot be 0 and <BR>\n" );
document.write( "a.repetition of digits is not permitted?\r<BR>\n" );
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document.write( "b.if repetition of digits is permitted?<BR>\n" );
document.write( "9. The Board of Directors does not have assigned seats in the conference room. If there are 12 of them, seated at a round table, how many different seating arrangements are possible?<BR>\n" );
document.write( "10. Using the letters of the word YOUNG, tell how many different 5-letter combinations are possible if: <BR>\n" );
document.write( "a. the first letter must be Y<BR>\n" );
document.write( "b. the vowels and consonants alternate, beginning with a consonant (Y is a consonant here and Y does not have to be first).<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 #112948 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=112948\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.In how many different ways can 6 classes be scheduled during a 6-period day?<BR>\n" );
document.write( "6!<BR>\n" );
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document.write( "2.In how many different ways can you arrange the letters of the word INTERNET?<BR>\n" );
document.write( "8!/[2!*2!*2!*2!]<BR>\n" );
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document.write( "3.In how many different ways can you arrange the letters of the word COMPUTER taking 4 at a time?<BR>\n" );
document.write( "8P4 = 8*7*6*5<BR>\n" );
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document.write( "4.In how many different ways can you arrange the letters of the word TRIGONOMETRY?<BR>\n" );
document.write( "12!/[2!*2!*2!]<BR>\n" );
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document.write( "5.In how many different ways can the 9 starters of a baseball team be placed in their positions?<BR>\n" );
document.write( "9!<BR>\n" );
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document.write( "6. How many different two-digit numbers can be formed from the digits 3, 1, 4, and 5 (allowing reuse)? <BR>\n" );
document.write( "4*4<BR>\n" );
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document.write( "7. Of 10 candidates, the first 6 are being interviewed in the morning, and the last 4 in the afternoon. In how many ways can the interviewer arrange a schedule?<BR>\n" );
document.write( "10C6*6! * 4C4*4!<BR>\n" );
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document.write( "8.How many 7-digit phone numbers can be formed if the first digit cannot be 0 and <BR>\n" );
document.write( "a.repetition of digits is not permitted?  9*9*8*7*6*5*4<BR>\n" );
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document.write( "b.if repetition of digits is permitted? 9*10^6<BR>\n" );
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document.write( "etc.<BR>\n" );
document.write( "9. The Board of Directors does not have assigned seats in the conference room. If there are 12 of them, seated at a round table, how many different seating arrangements are possible?<BR>\n" );
document.write( "10. Using the letters of the word YOUNG, tell how many different 5-letter combinations are possible if: <BR>\n" );
document.write( "a. the first letter must be Y<BR>\n" );
document.write( "b. the vowels and consonants alternate, beginning with a consonant (Y is a consonant here and Y does not have to be first).<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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