A: All the letters should appear together and hence all the vowels must be arranged in a row. This can be done in 8 ways, 4x4x4x4x4x4x4. The total number of arrangements is 8x4x4x4x4. The total number of ways is 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