spenceraniyah1
01.04.2020 •
Mathematics
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?
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Ответ:
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
Ответ:
2,9 should be your answer