From a shipment of 40 transistors, 5 of which are defective, a sample of 9 trans

Question

From a shipment of 40 transistors, 5 of which are defective, a sample of 9 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 contain no defective transistors? samples (d) How many samples contain at least 4 defective transistors? A box contains 12 red balls, 9 green balls, and 9 black balls. A sample of 9 is to be picked from the box. (a) How many samples contain at least 1 red ball? samples (b) How many samples contain exactly 4 red balls and exactly 3 black balls? samples (c) How many samples contain exactly 7 red balls or exactly 6 green balls? samples (d) How many samples contain exactly 5 green balls or exactly 3 black balls? samples

Explanation / Answer

1. a) 40C9 b)5C3*35C6 c)31C9 d)5C4 * 35C5 + 5C5 * 35C4 2. a)30C9 - 18C9 b)12C4*9C3*9C2 c)12C7*18C2+9C6*21C3 d)9C5*12C4 + 9C3*12C6

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