Problema Solution
Serial numbers for a product are to be made using
3
letters followed by
3
numbers. If the letters are to be taken from the first
8
letters of the alphabet with no repeats and the numbers are taken from the digits
0
through
9
with repeats possible, how many serial numbers can be generated?
Answer provided by our tutors
The number of 3 letter combinations without repeating out of a set of 8 element (8 letters) is:
C(8, 3) = 8!/(3!(8 - 3)!)
C(8, 3) = 6*7*8/6
C(8, 3) = 56
The number of 3 digits combinations with repeating out of a set of 10 elements (10 letters) is:
P(10, 3) = 10^3
The total number of serial numbers generated is:
56*10^3 = 56,000