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          <TD bgColor=#6595d6 height=25><IMG height=11 
            src="中英对照组合问题_files/newwin.gif" width=14 align=absBottom><STRONG 
            style="COLOR: white"> 主题：中英对照:组合问题</STRONG></TD></TR>
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                <TD width=64>作　　者</TD>
                <TD width=233>ok101</TD>
                <TD width=63>阅读次数</TD>
                <TD width=85>52</TD>
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                <TD width=233>基础应用与新手入门&gt;&gt; IT英语</TD>
                <TD width=63>发表日期</TD>
                <TD width=85>2006-9-6</TD>
                <TD width=63>回复日期</TD>
                <TD 
    width=85>2006-9-6</TD></TR></TBODY></TABLE></TD></TR></TBODY></TABLE></TD></TR></TBODY></TABLE>
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      <DIV class=userInfoBox>积分：2768<BR>第二级</DIV>
      <DIV class=userInfoBox>注册时间<BR>2003-5-12</DIV></DIV></TD>
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      <DIV class=TitleInfoBox align=right>发表时间：2006-9-6 11:15:25　　　楼主</DIV>
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      <DIV id=cont_right style="WIDTH: 495px">The members of a finite set can be 
      counted in many ways．If the set is small，we can simply list the members 
      and number the list with positive integers，starting with 1 and proceeding 
      in the natural order until we reach the end of the list [1]．But for a 
      large set，that method is slow and error-prone [2]．Consequently，more 
      sophisticated strategies and techniques have been developed for counting 
      large or intricately defined sets．Successful counting depends largely on 
      one’ s skill and insight in selecting an appropriate method for the 
      problem at hand．Such skill can best be developed by becoming thoroughly 
      familiar with various methods of counting and by acquiring experience in 
      applying these counting methods to a wide range of specific 
      problems．<BR><BR>First we emphasize the importance of generalization and 
      experimentation．For example，to determine the number of 11-member 
      committees that can be formed from the 100 members of the United States 
      Senate，we should recognize that this question is a special instance of 
      following more general question：<BR><BR>How many different subsets of size 
      k can be selected from the members of a set having n distinct 
      members？<BR><BR>We might solve this problem by using some small values of 
      k and n with k＜= n．Often the reasoning [3] used in solving the smaller
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