A: There are 5 vowels in the word EDUCATION. All 5 vowels can be arranged in 5! ways. Thus, the number of arrangements is 5! x 5! = 14400. The answer is (C).
Answer the following multiple choice question with options (a), (b), (c), (d), (e) by reasoning step-by-step.
Q:In how many ways can the letters of word EDUCATION be arranged such that all vowels appear together? Answer Choices: A)72000 B)15000 C)14400 D)14200 E)13201