Serial numbers for a product are to be made using 2 letters followed by 3 digits the letters are to be taken from the first 6 letters of the alphabet with no repeats the digits are to be taken from 10 digits with no repeats how many serial numbers are there

Question

Quintin Cabrera

Mathematics

12 July, 07:47

Serial numbers for a product are to be made using 2 letters followed by 3 digits the letters are to be taken from the first 6 letters of the alphabet with no repeats the digits are to be taken from 10 digits with no repeats how many serial numbers are there

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Answers (1)

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Damien Wilkerson · Answer 1

Step-by-step explanation:

We have to make 5 place serial number with first two as alphabets and last three as digits.

The alphabets are bonded to first 6 (A, B, C, D, E, F) where as digits are 10 (say 1 to 10).

Let the serial number be S1 S2 S3 S4 S5.

For Alphabets

For S1 we have 6 alphabets.

Now for S2 we are left with 5 alphabets since there is no repetition one alphabet will be fix for S1.

So the possible combination for S1 S2 = 6x5=30.

For Digits

We did the same as we did for alphabets, for S3 we have 10 possibilities, and for S4 and S5 9 and 8 respectively due to the no repetition condition.

So the possible combinations for S3 S4 S5 = 10x9x8=720

So the total number of serial numbers are 30+720=750.