Question

Find the number of distinct five-letter arrangements that can be made from two identical vowels and three Bs.

Answer 1

See, that's how to ask a school maths question. After trying for yourself. Good effort.

Ok, let's first look at the combinations.

Let us represent a vowel as 1, and a consonant as 0

We can write

11000

10100

10010

10001

01100

01010

01001

00110

00101

00011

So that's 10 combos

Now we can use any one of 5 vowels, so there are 50 of those, and 21 possible consonants, so that makes 21 X 50.

In English.

Other alphabets have different numbers of vowels and consonants.