Question

A password can have letters, digits, or 32 other special symbols in each of its 6-character spaces. there are two restrictions. the password cannot begin with a special symbol or 0, and it cannot end with a vowel(a,e,i,o,u). find the total number of passwords.

Answer 1

`30 * 98^(5)`

Explanation:

From the question, we know that a password consists of 6 characters. Each character has 26 + 10 + 32 = 98 different choices. However, we know the first character cannot begin with any of the 32 special symbols, the digit 0, or any of the five vowels, meaning there are only 21 + 9 = 30 different choices. From all this, we are able to conclude there 30 different character choices for the first slot and the other slots all have 98 character choices. This means there is a total of
`30 * 98^(5)` different password combinations.