Suppose 10 teachers are required in a college. If 4 are M.A’s and 10 doctorates apply for the Professorship, how many selections can be made taking all MA’s

In how many different ways can the letters of the word ‘LEADING’ be arranged in such a way that the vowels always come together

In how many different ways can the letters of the word ‘BANKING’ be arranged in such a way that the vowels always come together