Difference between revisions of "Manuals/calci/PERMUT"

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(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> '''PERMUT'''(Number, NumberChosen) where, '''Number''' -  represents number of objects. '''NumberChosen'''...")
 
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<div id="6SpaceContent" class="zcontent" align="left">
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<div style="font-size:30px">'''PERMUT(n,nc)'''</div><br/>
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*<math>n</math>  and <math> nc </math> are integers
  
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'''PERMUT'''(Number, NumberChosen)
 
  
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where,
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==Description==
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*This function gives the number of Permutations for a given number of objects.
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*A permutation, also called an arrangement number or order is a rearrangement of the elements of an ordered list.
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*A selection of objects in which the order of the objects matters.
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*A Permutation is an ordered Combination.
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*In <math>PERMUT(n,nc), n</math> is an integer which is indicating the number of objects and nc is an integer which is indicating the number of objects in each permutation.
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*For n and nc ,when we are giving in to decimals it will change in to integers.
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*The formula for the number of permutation is:<math>n P_k= \frac {n!}{(n-k)!}
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*The Permutation is denoted by nPk, Pn,k, or P(n,k).This function will give the result as error when
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1.n and nc are nonnumeric.
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2.Suppose n<=0 or nc<0 or n<nc.
  
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'''Number''' -  represents number of objects.
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==Examples==
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#PERMUT(14,2)=182
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#PERMUT(50,5)=254251200
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#PERMUT(10.2,3)=720
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#PERMUT(4,0)=1
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#PERMUT(6,1)=6 
  
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'''NumberChosen''' - represents the number of objects in  each permutation.
 
  
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</div>
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==See Also==
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----
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*[[Manuals/calci/BINOMDIST  | BINOMDIST ]]
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<div id="1SpaceContent" class="zcontent" align="left">
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*[[Manuals/calci/COMBIN  | COMBIN ]]
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*[[Manuals/calci/FACT  | FACT ]]
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*[[Manuals/calci/NEGBINOMDIST  | NEGBINOMDIST ]]
  
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Returns the number of permutations of number of objects.A permutation is sset of objects or events where internal order is significant.Permutations are different from Combination, for which internal order is
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==References==
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not significant.
 
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'''Formula''':-
 
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PERMUT = P<sub>k,n <sup>= n!/(n-k)!</sup></sub>
 
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</div>
 
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----
 
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<div id="7SpaceContent" class="zcontent" align="left">
 
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If  Number &lt;=  0, PERMUT returns the #ERROR.
 
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If Number &lt; NumberChosen, it returns the #ERROR.
 
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If Number or NumberChosen is nonnumeric ,it returns NaN
 
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</div>
 
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<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
 
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PERMUT
 
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</div></div>
 
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<div id="8SpaceContent" class="zcontent" align="left">
 
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Lets see an example in (Column1, Row3)
 
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<nowiki>=PERMUT(R1C1,R2C1)</nowiki>
 
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PERMUT returns 1980.
 
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Cosider an another example
 
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<nowiki>=PERMUT(-50,8)</nowiki>
 
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It returns #ERROR(Number =-50).
 
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</div>
 
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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
 
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----
 
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<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
 
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----
 
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<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
 
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----
 
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<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
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<div id="2SpaceContent" class="zcontent" align="left">
 
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{| id="TABLE3" class="SpreadSheet blue"
 
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|- class="even"
 
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| class=" " |
 
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| class="  " | Column1
 
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| Column2
 
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| Column3
 
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| Column4
 
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|- class="odd"
 
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| class=" " | Row1
 
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| class=" " | 45
 
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|- class="even"
 
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| class="  " | Row2
 
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| class="sshl_f " | 2
 
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|- class="odd"
 
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| Row3
 
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| class="sshl_f" | 1980
 
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|- class="even"
 
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| Row4
 
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| class=" SelectTD ChangeBGColor SelectTD" |
 
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<div id="2Space_Handle" class="zhandles" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="2Space_Copy" class="zhandles" title="Click and Drag over to AutoFill other cells."></div><div id="2Space_Drag" class="zhandles" title="Click and Drag to Move/Copy Area.">[[Image:copy-cube.gif]]  </div>
 
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|- class="odd"
 
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| class=" " | Row5
 
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|- class="even"
 
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| Row6
 
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|}
 
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<div align="left">[[Image:calci1.gif]]</div></div>
 
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Revision as of 00:30, 6 January 2014

PERMUT(n,nc)


  • and are integers


Description

  • This function gives the number of Permutations for a given number of objects.
  • A permutation, also called an arrangement number or order is a rearrangement of the elements of an ordered list.
  • A selection of objects in which the order of the objects matters.
  • A Permutation is an ordered Combination.
  • In is an integer which is indicating the number of objects and nc is an integer which is indicating the number of objects in each permutation.
  • For n and nc ,when we are giving in to decimals it will change in to integers.
  • The formula for the number of permutation is:<math>n P_k= \frac {n!}{(n-k)!}
  • The Permutation is denoted by nPk, Pn,k, or P(n,k).This function will give the result as error when
1.n and nc are nonnumeric.
2.Suppose n<=0 or nc<0 or n<nc.

Examples

  1. PERMUT(14,2)=182
  2. PERMUT(50,5)=254251200
  3. PERMUT(10.2,3)=720
  4. PERMUT(4,0)=1
  5. PERMUT(6,1)=6


See Also

References

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