The letters of the word ZOOLOGY are arranged in all possible ways. What is the probability that the consonants and vowels occur alternatively?

Step-by-step solution

Vowels =0,0,0 and consonant = Z L G Y Number of words form from letters of word ZOOLOGY = 7! 3! Number of words in which consonants and vowels occur alternatively n ( E ) aligned & =Z * L * G * Y=4! 3! & P(E)= n(E) n(S) = 4! 3! 3! 7! = 3 2 3 2 7 6 5 = 6 35 aligned