How many words can be formed with the letters of the word 'UNIVERSITY', the vowels remaining together? The word UNIVERSITY consists of 10 letters that include four vowels of which two are same. \[\frac{4!}{2!}\]ways.Keeping the vowels as a single entity, we are left with 7 letters, which can be arranged in 7! ways.By fundamental principle of counting, we get, Number of words = 7!\[\times\]\[\frac{4!}{2!}\] = 60480 Concept: Factorial N (N!) Permutations and Combinations Is there an error in this question or solution? |