How many four-digit serial numbers can be formed if no digit is to be repeated w

Question

How many four-digit serial numbers can be formed if no digit is to be repeated within any number (the first digit may be 0)? A shipment of microchips are sent to your company from two different sources. Each chip is classified as being defective or non-defective with the results as given in the table below. All of the chips are mixed together in a large lot and then one is selected at random. Given that the chip selected comes from source 1, what is the probability that it is non- defective? Are the events that the chip selected is defective and it came from source 1 independent events?

Explanation / Answer

There are 4 places to fill. The 4 places can be filled using 10 digits without repetition in 10 * 9 * 8 * 7 ways

= 5040 ways

5040 four-digit serial numbers are possible.

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