At random all the letters of the word "Article" are arranged in all possible ways. The probability that the arrangement begins with vowel and ends with a consonant is

The number of letters in the word ARTICLE is 7Hence, the number of ways of arranging the letters among themselves without any restriction is 7!Therefore,   n(S) = 7! The number of vowels is 3, and the number of consonants is 4 suppose that E be the event of getting words which starts with vowel and ends with consonants  n(E) = 3C1× 4C1× 5!P(E) = 3×4×5!7! = 27The probability that the arrangement begins with vowel and ends with a consonant is  27