hi1010101 hi1010101
  • 26-04-2017
  • Mathematics
contestada

How many combinations of 3 students can a teacher choose from 32 students?


A.
96


B.
4960


C.
29,760


D.
32,768

Respuesta :

JonHenderson55
JonHenderson55 JonHenderson55
  • 26-04-2017
The answer is:  [B]:  "4960" .
_____________________________________________
Explanation:
_____________________________________________
32C3 = [(32!)] / [ 3! *(32-3)! ] ;
 
         =  
[(32!)] / [ 3! *(29!) ]

         =  
(32*31*30) / (1*2*3)  =  29760 / 6 = 4960 .
_________________________________________________
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