RavinAustin94881 RavinAustin94881
  • 17-05-2021
  • Mathematics
contestada

At a high school, 9 students volunteer for a committee. How many different 4 -person committees can be chosen?

Respuesta :

fichoh
fichoh fichoh
  • 18-05-2021

Answer:

126 ways

Step-by-step explanation:

Total number of persons = 9

Number of commitees to be chosen = 4

Since, there is no order in the selection process, we use combination.

Choosing a committee of 4 from 9 will be :

9C4.

Recall :

nCr = n! / (n-r)!r!

9C4 = 9! / 5!4!

9C4 = (9*8*7*6) / (4*3*2*1) = 3024 / 24 = 126 ways

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