Question

Serial numbers for a product are to be made using 3 letters followed by 4 digits. The letters are to be taken from the first letters of the alphabet, with no repeats. The digits are taken from the 10 digits , with no repeats. How many serial numbers can be generated?

Answer 1

Answer:

30,240 ways,  if I am restricted to using A, B, and C for letters

Step-by-step explanation:

This uses Combinatorics from Discrete Math.

so.

3 letters  and 4 digits.

26 letters from alphabet, but you want to choose first letters.  no repeats...

Does this mean only letters A, B, and C ?

digits from 10 digits...

I imagine  7 empty slots , and the number of ways they occur together is by the product of the number of choices each box has.

3*2*1  *  10*9*8*7 = 6  * 5040  = 30,240 ways