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

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

146

step-by-step explanation: