ጥሬ ኮዱን ለመለጠፊያ:አስራ ሁለቱ መንገዶች ለማየት

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| align="center" |[[አስራ ሁለቱ መንገዶች|<span style="color:white;">12ቱ የጥምረት ቀመሮች</span>]]
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!colspan = "5"  | n ኳሶችና  x [[ቁና|ቁናዎች]] ቢሰጡ ኳሶቹን በቁናዎቹ ውስጥ በስንት</br>አይነት መንገድ ማስቀመጥ ይቻላል?
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!style="background:blue;"|<small><span style="color:white;">ኳሶች</small> -<big>'''n'''</big></span>
!style="background:blue;"|<small><span style="color:white;">ቁናዎች</small>-<big>'''x'''</big></span>
! እንደልብ ኳስ በቁና
! ≤1 ኳስ በቁና
! ≥1 ኳስ በቁና
|-
! የተሰየሙ
!የተሰየሙ
| [[#case f|<math>x^n\,</math>]]
| [[ድርደራ|<math>x^{\underline n}</math>]]
| [[#case s|<math>\textstyle x!\{{n\atop x}\}\,</math>]]
|-
! ያልተሰየሙ
!የተሰየሙ
| [[#case fn|<math>  \frac{x^{\overline{n}}}{n!} </math>]] <!-- do not change to \binom{x+n-1}{n-x}, see "extremal cases" below -->
| [[ስብስባ|<math> \frac{x^{\underline n}}{n!}</math>]] <!-- do not change to \binom x{n-x}, although that is also correct -->
| [[#case sn|<math>\binom{n-1}{n-x}</math>]] <!-- do not change to \binom{n-1}{x-1}, see "extremal cases" below -->
|-
! የተሰየሙ
!ያልተሰየሙ
| [[#case fx|<math>\sum_{k=0}^x\left\{{n\atop k}\right\}</math>]] <!-- do not change lower summation index to 1, see "extremal cases" below -->
| [[#case ix|<math>[n\leq x]</math>]]
| [[#case sx|<math>\left\{{n\atop x}\right\}</math>]]
|-
! ያልተሰየሙ
!ያልተሰየሙ
| [[#case fnx|<math>p_x(n+x)\,</math>]]
| [[#case inx|<math>[n\leq x]</math>]]
| [[#case snx|<math>p_x(n)\,</math>]]
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