From a shipment of 75 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?
ways

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

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

2 answers

(a) 75C5

(b) 69C2 * 6C3

(c) 69C5
In B and C where did the 69 come from?
in B where did the also come from