From a shipment of 75 transistors, 6 of which are defective, a sample of 6 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

Question
Asked Oct 25, 2019

From a shipment of 75 transistors, 6 of which are defective, a sample of 6 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
check_circleExpert Solution
Step 1

(a) There are totally 75 transistors out of which 6 are defective and 6 are selected at random. The number of different ways in which the sample can be selected at a random is

75
C, ways
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75 C, ways

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Step 2

(b) Among 75 transistors 6 are defective. The number of sample that co...

70
C
6
C, samples
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70 C 6 C, samples

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Math

Algebra

Permutations and Combinations