Ask Question
16 May, 09:21

Serial numbers for a product are to be made using 4 letters followed by 2 digits. The letters are to be taken from the first 6 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?

+2
Answers (1)
  1. 16 May, 12:09
    0
    675

    Step-by-step explanation:

    This is going to be really hard for you to understand unless you know factorials.

    The first four letters is a combination out of 6 letters; we call it 6 choose 4. As you may know, factorial is the multiplication of a number and it's previous digits. For example, 3! = 1 x 2 x 3

    The 6 choose 4 is (6!/4!2!) = (5x6) / 2 = 15

    The 10 choose 2 is (10!/2!8!) = (9x10) / 2 = 45

    Then you multiply both as they're independent:

    15 x 45 = 675 serial numbers
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Serial numbers for a product are to be made using 4 letters followed by 2 digits. The letters are to be taken from the first 6 letters of ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers