Respuesta :
2734375 employee ID codes can be generated
Solution:
Given that Each code will have one digit followed by four letters
The letter V and the digits 3, 4, and 5 will not be used
So, there are 25 letters and 7 digits that will be used
Assume that the letters can be repeated
Each code = 1 digit + four letters
digits 3 , 4 , 5 cannot be used
Therefore, the remaining digits are 1, 2, 6, 7, 8 , 9, 0
7 digits that will be used
One digit can be chosen from 7 digits in 7 ways
The first letter can be chosen from 25 letters in 25 ways
Since given that letters can be repeated
The second letter can be chosen from 25 letters in 25 ways
Similarly, the third letter can be chosen from 25 letters in 25 ways
Similarly, the fourth letter can be chosen from 25 letters in 25 ways
Therefore, the total number of ways are:
[tex]\rightarrow 7 \times 25 \times 25 \times 25 \times 25 = 7 \times 25^4\\\\ \rightarrow 2734375[/tex]
Thus 2734375 employee ID codes can be generated
