janellesteele6777 janellesteele6777
  • 21-10-2020
  • Mathematics
contestada

How many ways can a delegation of 55 Republicans, 22 Democrats, and 33 Independents be selected from a group of 99 Republicans, 33 Democrats, and 44 Independents?

Respuesta :

berno berno
  • 21-10-2020

Answer:

[tex]C(99,55)\,C(33,22)\,C(44,33)[/tex]

Step-by-step explanation:

A permutation refers to arrangement of the objects or numbers in order.  Combinations refers to selecting the objects or numbers from a group of objects or collection such that the order of the objects does not matter.

A delegation of 55 Republicans, 22 Democrats, and 33 Independents is selected from a group of 99 Republicans, 33 Democrats, and 44 Independents.

So,

Number of ways [tex]=C(99,55)\,C(33,22)\,C(44,33)[/tex]

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