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In one of the production lots of XYZ private limited, 15 units are produced out of which 7 are known to be defective. A lot is declared defective if the inspector examining the lot picks up one or more defective units in his picks (each pick signifies picking and examining one unit). In how many ways can the inspector pick three units and declare the lot to be defective?
Required number of ways = Total number of ways – Number of ways in which he does not pick any defective piece = 15C3 – 8C3 = (15 x 14 x 13 – 8 x 7 x 6 )/6 = 399
