SOLUTION: #10 From a shipment of 65 transistors, 3 of which are defective, a sample of 4 transistors is selected at random. (a) In how many different ways can the sample be selected? way

Algebra ->  Probability-and-statistics -> SOLUTION: #10 From a shipment of 65 transistors, 3 of which are defective, a sample of 4 transistors is selected at random. (a) In how many different ways can the sample be selected? way      Log On


   



Question 1118585: #10 From a shipment of 65 transistors, 3 of which are defective, a sample of 4 transistors is selected at random.
(a) In how many different ways can the sample be selected?
ways
(b) How many samples contain exactly 3 defective transistors?
samples
(c) How many samples do not contain any defective transistors?

Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.
#10 From a shipment of 65 transistors, 3 of which are defective, a sample of 4 transistors is selected at random.

(a)  In how many different ways can the sample be selected?
  
     In C%5B65%5D%5E4 = %2865%2A64%2A63%2A62%29%2F%281%2A2%2A3%2A4%29 = 788040 ways.



(b)  How many samples contain exactly 3 defective transistors?
  
     62 samples:  To the subset of 3 defective samples,  you can add ONE and ONLY ONE of the remaining 62 transistors.



(c)  How many samples do not contain any defective transistors?

     C%5B62%5D%5E4 = %2862%2A61%2A60%2A59%29%2F%281%2A2%2A3%2A4%29 = 557845 samples.