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 together?
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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 together?
EQUATION
Vowels
Consonants
Number of vowels in EQUATION Number of consonants in EQUATION
= E, U, A, I, O
= 5
= Q, T, N
= 3
Number of ways vowels can be
arranged = SPS
5!
(5-5)!
5! 5! 0! 1 = 120
Number of ways consonants can be arranged = 3P3
3!
(3-3)
3!
0!
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