Q. 23.6( 89 Votes )

How many words, w

Answer :

in the word EQUATION there are 5 vowels (A, E, I, O, U) and 3 consonants (Q, T, N)

The numbers of ways in which 5 vowels can be arranged are 5C5


………………1


Similarly, the numbers of ways in which 3 consonants can be arranged are 3P3


……………..2


There are two ways in which vowels and consonants can appear together


(AEIOU)(QTN) or (QTN)(AEIOU)


the total number of ways in which vowel and consonant can appear together are:


2 × 5C5 × 3C3


∴ 2 × 120 × 6 = 1440

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