Question

Can someone help me solve this? Pleaseeeee

Answer 1

40320

Explanation:

'2 letters followed by 3 digits', this is the way to make serial numbers of a product. The letters can be anyone from the first 8 letters of the alphabets while no letter is taken twice and the digits can be from the 10 digits (0, 1, 2, ....., 9) while no digit is taken twice or thrice.

So, the 8 letters taken 2 at a time can be arranged in
`^8P_(2)` = 56 number of ways when no repetition of the letters are there.

Again, 10 digits taken 3 at a time can be arranged in
`^(10) P_(3)` = 720 number of ways when no repetition of the digits are there.

Therefore, there can generate (56 × 720) = 40320 serial numbers. (Answer)