Question:
How many words, with or without meaning, can be formed using all the letters of the word EQUATION at a time so that the vowels and consonants occur ogether?
Answer:
Given word is EQUATION
Number of vowels = 5
Number of Consonants = 3
Taken vowels and consonants together Total number of words = 5! * 3! * 2! ( 5! for vowels, 3! for consonants and in 2 ways we can arrange the vowels and consonants )
= 120 * 6 * 2
= 1440
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