document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=980253>Question 980253</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a)	In how many different ways can the five starting players of a basketball team be introduced to the public?<BR>\n" );
document.write( "b)	Four names are drawn from among the 24 members of a club for the offices of president, vice-president, treasurer and secretary. In how many different ways can this be done?<BR>\n" );
document.write( "c)	How many different committees of two chemists and one physicist can be formed from the four chemists and three physicists on the faculty of small college?<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 #601458 by </B><A HREF=/tutors/aboutme.mpl?userid=onlinepsa><B>onlinepsa(22)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=onlinepsa><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=onlinepsa><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=601458\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> b)	Four names are drawn from among the 24 members of a club for the offices of president, vice-president, treasurer and secretary. In how many different ways can this be done?\r<BR>\n" );
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document.write( "Ans: Number of ways in which 4 names can be chosen from 24 members= 24C4\r<BR>\n" );
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document.write( "Since they are being chosen for 4 different posts, they can be rearranged among themselves for these 4 posts in 4! ways.\r<BR>\n" );
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document.write( "Total number of ways = 24C4 * 4! = 24*23*22*21\r<BR>\n" );
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document.write( "It could also be directly arrived as 24P4 (as order is important here).\r<BR>\n" );
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document.write( "This could also be arrived by visualizing that say, for the post of President number of people available = 24.\r<BR>\n" );
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document.write( "Once President is chosen, the post of Vice President can be filled in by rest of 23 people = 23 ways.\r<BR>\n" );
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document.write( "Once VP is chosen, the posts of treasurer and secretary can be filled in 22 and 21 ways respectively.\r<BR>\n" );
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document.write( "Total ways= 24*23*22*21.\r<BR>\n" );
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document.write( "c)	How many different committees of two chemists and one physicist can be formed from the four chemists and three physicists on the faculty of small college?\r<BR>\n" );
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document.write( "Ans: Total ways in which committee can be formed = Number of ways of selecting 2 chemists out of 4 chemists x Number of ways of selecting 1 physicist out of 3 physicists.\r<BR>\n" );
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document.write( "= 4c2* 3c1 = 6*3= 18\r<BR>\n" );
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document.write( "Thanks,<BR>\n" );
document.write( "PRD<BR>\n" );
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