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  • 18-10-2018
  • Mathematics
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What is the value of the expression 12C7 ?

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gmany
gmany gmany
  • 18-10-2018

[tex]C^7_{12}={{12}\choose{7}}=\dfrac{12!}{7!(12-7)!}=\dfrac{7!\cdot8\cdot9\cdot10\cdot11\cdot12}{7!\cdot5!}=\dfrac{8\cdot9\cdot10\cdot11\cdot12}{1\cdot2\cdot3\cdot4\cdot5}\\\\=8\cdot9\cdot11=792[/tex]

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