Permutations: All Scenarios on the Example word 'EDUCATION' (Quantitative Aptitude Lesson)

#permutations
This tutorial covers Permutations basics for WORD PROBLEMS and illustrates arrangements of the given word 'EDUCATION' under different conditions.
The following questions are discussed with solutions in detail:
In how many ways can we arrange the letters of the word ‘EDUCATION’?
such that:
Question 1: The word starts with E?
Question 2: The word doesn’t start with E?
Question 3: The word ends with N?
Question 4: The word doesn’t end with N?
Question 5: The word starts with E and ends with N?
Question 6: The word starts with E but doesn’t end with N?
Question 7: The word doesn’t start with E but ends with N?
Question 8: The word neither starts with E nor ends with N?
Question 9: The vowels and consonants are alternate?
Question 10: No two consonants appear together?
Question 11: The letter A always comes exactly between C and T?
Question 12: The vowels occur in Alphabetical order?
Question 13: The first position and the last position is occupied by a consonant while the middle (5th position) is occupied by a vowel?
Question 14: The letters E,D,U,C,A,T,I,O,N’ are used to form a 7 lettered palindrome, how many such palindromes exist? (repetition allowed)

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