How many different eight-letter passwords can be formed from the letters in the word engineer?

The Answer to Creating Passwords from the Word Engineer

When forming eight-letter passwords from the word 'engineer,' we have to consider combinations and repetition.

'Engineer' has 8 letters, with some repeating. We have:

• 2 'e's
• 1 'n'
• 1 'g'
• 3 'i's
• 1 'r'

Since the password length is 8, we will use 8 positions for letters. The total number of ways to arrange these letters is calculated by 8!/(2! * 3!), which equals 1680.

So, there are 1680 different eight-letter passwords that can be formed using the letters in 'engineer.'