1.  In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together? 


2.  From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done? 


3.  In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together? 


5.  Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed? 

