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| − | <div id=" 16SpaceContent" align="left"><div class="ZEditBox" align="justify"> | + | <div style="font-size:30px">'''MULTINOMIAL()'''</div><br/> |
| | + | *Parameters are any set of numbers. |
| | + | **MULTINOMIAL(),returns the multinomial of a set of numbers. |
| | | | |
| − | Syntax
| + | ==Description== |
| | + | *This function gives the Multinomial of the values. |
| | + | *Multinomial means the ratio of the factorial of a sum of values to the product of factorials. |
| | + | *Multinomial of n set of numbers is defined by: |
| | + | <math> MULTINOMIAL(x_1,x_2,..x_n)</math>=<math>\frac{(x_1+x_2+...+x_n)!}{x_1!x_2!..x_n!}</math> |
| | + | This function gives the result as error when |
| | + | 1.Any one of the argument is non-numeric. |
| | + | 2.Any one of the argument is < 0. |
| | + | *In <math>MULTINOMIAL()</math>, First Parameter is required. From the second parameter are optional. |
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| − | </div></div> | + | ==ZOS== |
| − | ----
| + | *The syntax is to calculate multinomial in ZOS is <math>MULTINOMIAL()</math>. |
| − | <div id="4SpaceContent" align="left"><div class="ZEditBox" align="justify">
| + | **Parameters are any set of numbers. |
| | | | |
| − | Remarks
| + | ==Examples== |
| | + | #=MULTINOMIAL(10,11) = 352716 |
| | + | #=MULTINOMIAL(2,3,4,5) = 2522520 |
| | + | #=MULTINOMIAL(0,1.2,1.3,1.4,1.5) = 24 |
| | + | #=MULTINOMIAL(0,-1,2) = #N/A (NUMBER < 0) |
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| − | </div></div>
| + | ==Related Videos== |
| − | ----
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| − | <div id="2SpaceContent" align="left"><div class="ZEditBox" align="justify">
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| − | Examples
| + | {{#ev:youtube|fGoEwyvTIkc|280|center|MULTINOMIAL}} |
| | | | |
| − | </div></div>
| + | ==See Also== |
| − | ----
| + | *[[Manuals/calci/FACT | FACT ]] |
| − | <div id="8SpaceContent" align="left"><div class="ZEditBox" align="justify">'''<font face="Times New Roman">''''''''''''<font size="6"> </font>''' '''''''''</font>'''</div></div>
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| − | ----
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| − | <div id="11SpaceContent" align="left"><div class="ZEditBox mceEditable" align="justify">
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| − | <font size="5">Description</font>
| + | ==References== |
| | + | [http://en.wikipedia.org/wiki/Multinomial_distribution Multinomial_distribution] |
| | | | |
| − | </div></div>
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| − | ----
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| − | <div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">'''<font face="Times New Roman"> <font size="6">MULTINOMIAL</font> </font>'''</div></div>
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| − | ----
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| − | <div id="3SpaceContent" class="zcontent" align="left"><br /><div id="7Space" class="gamizbox" title="7Space"><div id="7SpaceHeader" class="zheaderstyle" title="Double-click to start and stop editing the header."><center></center></div><div id="7SpaceRollup" title="Double-click to rolldown" align="left"><span><span id="7SpaceRollupContent" align="center"></span></span></div><div id="7SpaceCover"><div id="7SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"><font size="3" face="Times New Roman"> </font>
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| − | '''MULTINOMIAL''' ('''n1''', n2 ...)
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| − | Where n1, n2… are the positive integers
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| − | </div></div>
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| − | ----
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| − | <div id="13SpaceContent" class="zcontent" align="left"><br /><br /><div id="1Space" class="gamizbox" title="1Space"><div id="1SpaceHeader" class="zheaderstyle" title="Double-click to start and stop editing the header."><center></center></div><div id="1SpaceRollup" title="Double-click to rolldown" align="left"><span><span id="1SpaceRollupContent" align="center"></span></span></div><div id="1SpaceCover"><div id="1SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"><font size="3"><font face="Times New Roman">
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| − | * <font size="3">The multinomial is to</font> | + | *[[Z_API_Functions | List of Main Z Functions]] |
| | | | |
| − | </font>
| + | *[[ Z3 | Z3 home ]] |
| − | | |
| − | <font face="Times New Roman"> </font>
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| − | | |
| − | </font></div></div>
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| − | ----
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| − | <div id="14SpaceContent" class="zcontent" align="left"><br /><br /><br /><div id="5Space" class="gamizbox" title="5Space"><div id="5SpaceHeader" class="zheaderstyle" title="Double-click to start and stop editing the header."><center></center></div><div id="5SpaceRollup" title="Double-click to rolldown" align="left"><span><span id="5SpaceRollupContent" align="center"></span></span></div><div id="5SpaceCover"><div id="5SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">This function is used to calculate the ratio of the factorial of a sum of values to the product of factorials. </div></div>
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| − | ----
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| − | <div id="12SpaceContent" class="zcontent" align="left"><br /><br /><br /><div id="9Space" class="gamizbox" title="9Space"><div id="9SpaceHeader" class="zheaderstyle" title="Double-click to start and stop editing the header."><center></center></div><div id="9SpaceRollup" title="Double-click to rolldown" align="left"><span><span id="9SpaceRollupContent" align="center"></span></span></div><div id="9SpaceCover"><div id="9SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"><font size="3"><font face="Times New Roman">
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| − | Let’s see an example in (Column1 Row 1, Column2Row1, and Column3Row1)
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| − | MULTINOMIAL (n1, n2, n3)
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| − | MULTINOMIAL (C1R1, C2R1, C3R1)
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| − | i.e. =MULTINOMIAL (4, 5, 2) is 6930
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| − | </font></font></div></div>
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| − | ----
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| − | <div id="6SpaceContent" 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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| − | <div id="6Space_Copy" title="Click and Drag over to AutoFill other cells."></div>
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| − | | Column1
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| − | | class=" " | Column2
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| − | | class=" " | Column3
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| − | | class=" " | Column4
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| − | |- class="odd"
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| − | | class=" " | Row1
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| − | | class="sshl_f" | 4
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| − | | class="sshl_f" | 5
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| − | | class="sshl_f" | 2
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| − | | class="sshl_f" |
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| − | |- class="even"
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| − | | class=" " | Row2
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| − | | class="sshl_f" | 6930
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| − | | class="sshl_f " |
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| − | <div id="6Space_Copy" title="Click and Drag over to AutoFill other cells."></div>
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| − | | class="sshl_f " |
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| − | <div id="6Space_Copy" title="Click and Drag over to AutoFill other cells."></div>
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| − | | class="sshl_f" |
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| − | |- class="odd" | |
| − | | Row3
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| − | | class="sshl_f SelectTD SelectTD" |
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| − | <div id="6Space_Handle" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="6Space_Copy" title="Click and Drag over to AutoFill other cells."></div>
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| − | | class="sshl_f" |
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| − | | class="sshl_f" |
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| − | | class="sshl_f" |
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| − | |- class="even"
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| − | | Row4
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| − | | class="sshl_f" |
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| − | | class="sshl_f" |
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| − | | class="sshl_f" |
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| − | | class="sshl_f" |
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| − | |- class="odd"
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| − | | class=" " | Row5
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| − | | class="sshl_f" |
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| − | | class="sshl_f" |
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| − | | class="sshl_f" |
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| − | | class="sshl_f" |
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| − | |- class="even"
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| − | | Row6
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| − | | class="sshl_f" |
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| − | | class="sshl_f" |
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| − | | class="sshl_f" |
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| − | | class="sshl_f" |
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| − | |}
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| − | <div align="left">[[Image:calci1.gif]]</div></div>
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| − | ----
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| − | </div></div></div></div></div></div></div></div></div></div></div></div>
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=
This function gives the result as error when
, First Parameter is required. From the second parameter are optional.