in how many ways can a five letter password be formed from the vowels of the english alphabet

Question

in how many ways can a five letter password be formed from the vowels of the english alphabet

Answer 1

You did not specify if letters could be repeated.

 

With repetitions allow it's 5x5x5x5x5 = 5⁵

 

Without repetitions it would be a permutation problem P(5,5).

 

Need more help? comment back.

Answer 2

Using only A, E, I, O and U, we can form 5·5·5·5·5 = 3,125 passwords.

 

If the letters all have to be different, which wasn't said, then there are 5·4·3·2·1 = 120 passwords.

Answer 3

Since there are only 5 vowels, each of the letters in the password can be chosen from these 5 vowels. Therefore the answer is 5 to the fifth power which is 3125. However, if the password is case sensitive, then you actually have 10 choices for each character in your password which would give you 100,000 possibilities. (32 times 3125). Imagine how large the number gets when you allow some of the consonants as well !