From a shipment of 65 transistors, 6 of which are defective, a sample of 5 transistors is selected at random.
(a) in how many different ways can the sample be selected?

(b) how many samples contain exactly 3 defective transistors?

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

a) 8259888

b) 34220

c) 45057474

Step-by-step explanation:

Given,

The total number of transistor = 65,

In which, the defective transistor = 6,

So, the number of non defective transistor = 65 - 6 = 59,

Since, out of these transistor 5 are selected,

a) Thus, the number of ways = the total possible combination of 5 transistors =

b) The number of samples that contains exactly 3 defective transistors = the possible combination of exactly 3 defective transistors =

c) The number of sample without any defective transistor = The possible combination of 0 defective transistor =