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

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(52781) (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  =  = 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?

      =  = 557845 samples.

RELATED QUESTIONS
From a shipment of 60 transistors, 4 of which are defective, a sample of 4 transistors is (answered by edjones)

I am having trouble about applying my knowldege of permutations and combinations Here (answered by stanbon)

I need help with this word problem, please help thanks! A quality control inspector... (answered by ewatrrr)

From a large shipment of transistors from a supplier, 1% of the items are known to be... (answered by stanbon)

A box contains 10 transistors , 4 of which were defective. If 4 are selected at random,... (answered by Fombitz)

if a box contains 12 transistors, 3 of which are defective. If 3 are selected at random... (answered by stanbon)

A box contains 15 transistors, 3 of which are defective. If 3 are selected at random.... (answered by Alan3354)

A carton contains 15 transistors of which 5 are defective. If a random sample of 6... (answered by greenestamps,ikleyn)

Suppose that 10 transistors are randomly drawn from a box containing 26 good transistors... (answered by stanbon)