Find the number of words that can be formed using all the lettersA, B, C, D, E such that the word always starts with a vowel and repetition of letters is not allowed?
48
In the given letters there are two vowels. Keeping the letter A in the starting place the other four letters can be arranged in 4! ways that is 24.
Doing the same with E in the starting place we will get another 24 words, so the total words that can be formed is 24+24 =48.