Question 1185833
In a shipment of 22 smart phones, three are defective. How many ways can a quality control inspector randomly test six smart phones, of which three are defective?
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The 1st pick is 1 of 22, then 1 of 21, etc
---> 22*21*20*19*18*17 = 53721360
But, there are 6*5*4*3*2*1 = 720 ways to select the 6.
53721360/720 = 74613 ways
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Don't try this at home.