Respuesta :

Answer:

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Answer:

[tex]\huge{\boxed{\sf 55}}[/tex]

Explanation:

[tex]\sf Combination \ Formula = \ _n C_r=\dfrac{n !}{r ! (n-r) !}[/tex]

Here given:

  • n = 11
  • r = 9
  • [tex]\bf _{11} C_9[/tex]

Evaluate:

[tex]\rightarrow \sf \dfrac{11 !}{9 ! (11-9) !}[/tex]

[tex]\rightarrow \sf \dfrac{39916800}{ 362800 (2)}[/tex]

[tex]\rightarrow \sf \dfrac{39916800}{725760}[/tex]

[tex]\rightarrow \sf 55[/tex]