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

Mathematics

Aracely White

1 May, 00:59

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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Ean Henson · 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.