In the permutation of the word GRAVITATIONAL, how many ways can the word be arranged if: No restriction?  No consonant letters should follow each other? The words formed are a gerund?

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 70E: How many distinguishable words can be formed from the letters of the word casserole if each letter...
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In the permutation of the word GRAVITATIONAL, how many ways can the word be arranged if:

  1. No restriction? 
  2. No consonant letters should follow each other?
  3. The words formed are a gerund?
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