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Serial numbers for a product are to be made using 3 letters followed by 3 digits. The letters are to be taken from the first 7 letters of the alphabet, with no repeats. The digits are taken from the 10 digits(0,1,2...,9) with no repeats. How many serial numbers can be generated

Answer :

Answer:

There are 151200 different combinations that can be made.

Step-by-step explanation:

The first 3 letters and can not repeat, and are from the first 7 letters of the alphabet. We can multiply 7*6*5 because no letter will be the same as the others.

The numbers can be repeated, and have 10 possible outcomes 3 times. Therefore, we can add 10*9*8 to our equation.

At this point, we have 10*9*8*7*6*5, which comes out to be 151200

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