Question

I need the correct answer to this question:

5. How many 5-character sequences consist of two letters followed by 3 digits with no character being repeated?

This is my answer and it is incorrect ,

The number of 5-character sequences consists of two letters followed by 3 digits with no character being repeated is 26 × 25 × 10 × 10 × 10 = 650,000

Answer 1

From the question:

5-character sequences consist of two letters followed by 3 digits.

Here no character being repeated.

Required choice with no reputation:

1^st letter selected in 26 ways.

2^nd letter selected in 25 ways.

1^st digit selected in 10 ways.

2^nd digit selected in 9 ways.

3^nd digit selected in 8 ways.

Probability  5-character sequences consist of two letters followed by 3 digits with no character being repeated = 26*25*10*9*8 = 468000